problem solving with fractions grade 5

Fraction Word Problems (Grade 5)

These lessons, with videos, examples and solutions help Grade 5 students learn to solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers.

Related Pages Common Core for Grade 5 More Lessons for Grade 5

For example, recognize an incorrect result 2/5 + 1/2 = 3/7, by observing that 3/7 < 1/2.

Common Core: 5.NF.2

Suggested Learning Targets

• I can solve addition and subtraction word problems with fractions.
• I can estimate fractions to make sense of my answer.

Solve Fraction Word Problems with Visual Bar Models

Example: Kayla weighed her Halloween treats. She counted 1/4 of a pound of lollipops and 2/7 of a pound of gobstoppers. She also counted 1/3 of a pound of mints. How many pounds of candy did Kayla have altogether?

Add mixed numbers word problems

Example: While gardening, Jan spend 1 3/4 hours planting and 2 1/8 hours trimming. What was the total hours worked by Jan in her garden?

Solve word problems involving addition of fractions - unlike denominators

Example: Matthew ran 1/6 of a mile then took a break before running another 3/4 of a mile. How far did Matthew run in all?

Subtracting Fractions From Whole Numbers Solve a word problem using bar models.

Example: A craft store has a 9-yard spool of ribbon. In the morning, a customer buys 1/5 yard of ribbon from the spool. In the afternoon, another customer buys 7/10 yard of ribbon from the spool. How much ribbon is left?

Adding and subtracting unlike fractions word problems

• Drew and Maddy were filling the class raised garden bed with soil. Drew shoveled in 1/3 of a cubic yard, and Maddy shoveled in 1/2 of a cubic yard. How much soil did they put into the garden bed altogether?
• Caden invited Owen over to his house. Caden shared his chocolate stash from last Halloween. He still had 4/5 of a pound of chocolate. Caden asked Owen how much chocolate he would like. Owen said that he would like 1/3 of a pound of chocolate. How much chocolate does Caden have left?

Adding and subtracting mixed numbers word problems

• Jaida went gold panning and found 1 1/5 pounds of gold. The next day she found 3 1/4 pound more. How much total gold did Jaida find?
• Jonathan collected 4 1/2 kilograms of filberts. He gave 2 3/4 kilograms to his friend. How many kilograms of filberts does Jonathan have now?

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5th Grade Fractions Worksheets

In 5th Grade Fractions Worksheets we will solve how to compare two fractions, comparing mixed fractions, addition of like fractions, addition of unlike fractions , addition of mixed fractions , word problems on addition of fractions, subtraction of like fractions, subtraction of unlike fractions, word problems on subtraction of fractions, multiplications of fractions, word problems on multiplication of fractions, fraction of fraction, reciprocal of fractions, division of fractions, word problems on division of fractions.

Let us Summarize the 5th Grade Fraction:

1. A fraction can be represented by three ways:

(i) As a part of a whole

(ii) As a part of a collection

(iii) As division 2. A fraction having numerator 1 is called a unit fraction.

3. Fraction having same denominators are called like fractions.

4. Fraction having different denominators are called unlike fractions.

5. A fraction whose numerator is less than its denominator is called a proper fraction.

6. A fraction whose numerator is greater than its denominator is called an improper fraction.

7. Fractions having equal value are called equivalent fractions.

8. Fractions \(\frac{a}{b}\) and \(\frac{c}{d}\) are equivalent fractions when ad = bc.

9. A combination of a natural number and a proper fraction is called a mixed fraction (number).

10. A fraction is said to be a fraction in its lower terms, if the HCF of a and b is 1. 

11. To reduce a given fraction to its simplest form, we divide both its numerator and denominator by their HCF.

12. Of the two given like fractions, the fraction with greater numerator is greater.

13. Of the two given fractions with same numerator, the fraction with greater denominator is smaller.

I. Answer the following:

(i) The reciprocal of 7\(\frac{1}{8}\) is ………….. .

(ii) 8 boys shared \(\frac{2}{5}\) of a cake equally. What fraction of the cake did each boy get?

(iii) Which is greater 5\(\frac{1}{7}\) or 3\(\frac{1}{7}\)?

(iv) What is the half of 60?

(v) Find the difference between the sum and product of 2\(\frac{1}{4}\) and 1\(\frac{4}{5}\).

(vi) Which is greater \(\frac{23}{25}\) or 1?

(vii) If \(\frac{17}{19}\) of the cup is filled, then what fraction of the cup is empty?

(viii) A family eats 1\(\frac{2}{3}\) cakes in a meal. Will 3 cakes be enough for 2 meals?

Operations on Fractions

II. Solve the given:

(i) \(\frac{7}{10}\) + \(\frac{3}{10}\)

(ii) \(\frac{14}{25}\) - \(\frac{9}{25}\)

(iii) \(\frac{5}{7}\) + \(\frac{13}{28}\) + \(\frac{3}{4}\)

(iv) 7 - \(\frac{3}{12}\)

(v) \(\frac{8}{15}\) + \(\frac{19}{30}\) - \(\frac{4}{5}\)

(vi) \(\frac{16}{44}\) ÷ \(\frac{8}{11}\)

(vii) \(\frac{6}{31}\) × \(\frac{62}{18}\)

(viii) \(\frac{24}{50}\) ÷ \(\frac{8}{25}\)

(ix) \(\frac{13}{18}\) ÷ \(\frac{39}{36}\)

Fraction of a Fraction

III. Find the given:

(i) \(\frac{2}{10}\) of 40 mangoes

(ii) \(\frac{3}{15}\) of $75

(iii) \(\frac{3}{4}\) of 20 cups

(iv) \(\frac{3}{7}\) of 1 week

IV. Compare the given fractions and put the right sign <, > or =.

(i) \(\frac{3}{4}\) ……… \(\frac{5}{6}\)

(ii) \(\frac{5}{7}\) ……… \(\frac{15}{21}\)

(i) \(\frac{17}{34}\) ……… \(\frac{8}{32}\)

V. Convert the given fractions in lowest terms:

(i) \(\frac{15}{60}\)

(ii) \(\frac{22}{77}\)

(iii) \(\frac{18}{54}\)

(iv) \(\frac{36}{60}\)

(v) \(\frac{21}{63}\)

VI. Multiple Choice Questions on (MCQ) Fractions:

   Tick ( ✔ )  the correct option.

(i) A fraction whose denominator is greater than its numerator is called:

(a) an unit fraction

(b) a mixed fraction

(c) a proper fraction

(d) an improper fraction

(ii) A fraction with numerator 1 is called:

(a) unit fraction

(b) proper fraction

(c) like fraction

(d) mixed fraction

(iii) The fraction that represents 8 hours of a day is

(a) \(\frac{8}{12}\)

(b) \(\frac{16}{24}\)

(c) \(\frac{2}{3}\)

(d) \(\frac{1}{3}\)

(iv) A fraction equivalent to \(\frac{32}{20}\) is

(a) \(\frac{8}{5}\)

(b) \(\frac{2}{3}\)

(c) \(\frac{8}{9}\)

(d) \(\frac{8}{6}\)

(v) When we subtract 2\(\frac{2}{3}\) from 5, we get

(a) 3\(\frac{1}{3}\)

(b) 2\(\frac{1}{3}\)

(c) \(\frac{14}{8}\)

(d) none of these

(vi) \(\frac{42}{5}\) when expressed as a mixed fraction is

(a) \(\frac{5}{42}\)

(b) 8\(\frac{2}{5}\)

(c) 2\(\frac{8}{42}\)

(vii) The value of \(\frac{3}{8}\) + \(\frac{2}{8}\) is

(a) \(\frac{5}{8}\)

(b) \(\frac{3}{8}\)

(c) \(\frac{4}{8}\)

(d) \(\frac{2}{3}\)

(viii) The value of 2\(\frac{2}{3}\) + 2\(\frac{1}{4}\)

(a) 3\(\frac{4}{5}\)

(b) 3\(\frac{5}{12}\)

(c) 4\(\frac{11}{12}\)

(d)  none of these

VII. State True or False:

(i) A fraction whose numerator is 1, is called unit fraction.

(ii) \(\frac{1}{4}\), \(\frac{1}{2}\), \(\frac{3}{4}\), \(\frac{7}{8}\) are arranged in descending order.

(iii) Fractions with different denominators are called unlike fractions.

(iv) The fractions with the same denominators are called unlike fractions.

(v) When numerator of a fraction is greater than the denominator, then the fraction is said to be a proper fraction.

VIII. Fill in the blanks:

(i) \(\frac{5}{9}\) + \(\frac{2}{3}\) - \(\frac{7}{12}\) = _____

(ii) The fraction equivalent to \(\frac{5}{6}\) having numerator 20 is _____.

(iii) If \(\frac{25}{40}\) equivalent to \(\frac{5}{x}\), then x = _____.

(iv) The simplest form of \(\frac{10}{4}\) is _____.

(v) \(\frac{2}{3}\) is _____ than \(\frac{3}{2}\).

IX. Short and Long Answer Type Questions:

(i) Show \(\frac{1}{5}\) on a number line.

(ii) Convert \(\frac{1}{3}\), \(\frac{1}{4}\) and \(\frac{1}{5}\) into like fractions.

(iii) Richard spends \(\frac{1}{3}\) of his income and saves the rest. Joe saves \(\frac{3}{5}\) of his income and spends the rest. Who saves greater part of the income?

(iv) Find the sum: \(\frac{3}{5}\) + \(\frac{6}{7}\) + \(\frac{1}{4}\)

(v) Simplify: 3 - 1\(\frac{1}{4}\) + \(\frac{2}{3}\)

X. Word Problems on Fractions:

(i) The cost of comic is $57\(\frac{1}{2}\) and that of color book is $25\(\frac{1}{4}\). Which costs more and by how much?

(ii) Tom spent \(\frac{3}{5}\) of his money on bag and spent \(\frac{2}{7}\) of his money on stationary. What fraction of money is left with him?

(iii) Kate has $630. She wants to buy a bag that costs \(\frac{5}{9}\) of the amount she has. What should be the cost of the bag?

(iv) How many pieces of 2\(\frac{3}{4}\) m each can be cut from a string of 16\(\frac{1}{2}\) m length?

Answers on 5th Grade Fractions Worksheets are given below to check the exact answers of the questions. 

I.   (i) \(\frac{8}{27}\)

(ii) \(\frac{1}{20}\)

(iii) 5\(\frac{1}{7}\)

(iv) 30

(vi) 1

(vii) \(\frac{2}{19}\)

(viii) No, 3\(\frac{1}{3}\) cakes required

II.  (i) 1

(ii) \(\frac{1}{5}\)

(iii) 1\(\frac{13}{14}\)

(iv) \(\frac{81}{12}\)

(v) \(\frac{11}{30}\)

(vi) \(\frac{1}{2}\)

(vii) \(\frac{2}{3}\)

(viii) \(\frac{3}{2}\)

(ix) \(\frac{2}{3}\)

III.  (i) 8 mangoes

(iii) 15 cups

(iv) 3 days

IV.  (i) \(\frac{3}{4}\) < \(\frac{5}{6}\)

(ii) \(\frac{5}{7}\) = \(\frac{15}{21}\)

(i) \(\frac{17}{34}\) > \(\frac{8}{32}\)

V.  (i) \(\frac{1}{4}\)

(ii) \(\frac{2}{7}\)

(iii) \(\frac{1}{3}\)

(iv) \(\frac{3}{5}\)

(v) \(\frac{1}{3}\)

VI.  (i) (c) a proper fraction

(ii) (a) unit fraction

(iii) (d) \(\frac{1}{3}\)

(iv) (a) \(\frac{8}{5}\)

(v) (b) 2\(\frac{1}{3}\)

(vi) (b) 8\(\frac{2}{5}\)

(vii) (a) \(\frac{5}{8}\)

(viii) (c) 4\(\frac{11}{12}\)

VII.  (i) True

VIII.  (i) \(\frac{23}{36}\)

(ii) \(\frac{20}{24}\)

(iv) \(\frac{5}{2}\)

IX.  (i) 

(ii) 20/60, 15/60, 12/60

(iii) Joe saves greater part of the income

(iv) 1\(\frac{99}{140}\)

(v) 2\(\frac{5}{12}\)

X. (i) Comic cost more, $32\(\frac{1}{4}\)

(ii) \(\frac{4}{35}\)

(iii) $350

(iv) 6

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Fifth Grade Fractions Worksheets and Printables

5th Grade Fractions Worksheets

5th grade fractions worksheets are a simple way to implement the learning of fractions and their types. A fraction is some part of a whole object. The ratio of these two quantities is called a fraction. Part of the fraction placed at the top is the numerator, and the other is called the denominator. There are many types of fractions: proper, improper, mixed, like, unlike, and equal. Working with fractions necessitates a sound conceptual understanding through constant practice.

Benefits of Grade 5 Fractions Worksheets

5th grade fractions worksheets are a highly reliable means of acquiring an in-depth knowledge of fractions and their types. These 5th grade math worksheets are thoughtfully curated to impart a thorough understanding of all fraction concepts. Such well-curated worksheets are reliable means of enhancing a child’s ability to visualize the fractions in everyday lives. By practicing multiple problems covered in these worksheets, a child can quickly grasp both easy and complicated concepts quickly.

☛ Practice : Grade 5 Interactive Fractions Worksheets

Printable PDFs Fractions Worksheets for Grade 5

For better understanding and more practice, download the free version of the 5th grade fraction worksheets. It is available in a pdf format and can be used easily anywhere.

• Math 5th Grade Fractions Worksheet
• Grade 5 Math Fractions Worksheet
• 5th Grade Math Fractions Worksheet
• Fractions Worksheet for 5th Grade

Interactive 5th Grade Fractions Worksheets

• A Recap to Fractions Worksheet for 4th Grade
• Grade 4 Comparing Fractions Worksheet
• Ordering Fractions Worksheet for Grade 4

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5th Grade Math Word Problems Worksheets

Math word problem worksheets for grade 5.

These worksheets present students with real world word problems that students can solve with grade 5 math concepts. 

We encourage students to think about the problems carefully by:

• providing a number of mixed word problem worksheets
• including irrelevant data  so students need to understand the context before applying a solution

The four operations

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Home / United States / Math Classes / Worksheets / 5th Grade Fraction Worksheets

5th Grade Fraction Worksheets

A fraction represents the number of equal parts that are considered from the total number of equal parts. These fifth gr ade fraction worksheets help the student to strengthen their understanding of the concept of fractions by introducing additional concepts related to fractions. ...Read More Read Less

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Choose math worksheets by topic, 5th grade fraction worksheets explained:.

A fraction is a part of a whole. It consists of two natural numbers, say a and b, written in an ‘ a b ’ form where the number a represents the number of equal parts that are being counted, and number b represents the number of equal parts that are in a whole. These fraction worksheets for grade 5 consist of the different varieties of questions related to fractions such as equivalent fractions, conversion of fractions and decimals, conversion of improper fractions to mixed numbers, and mixed numbers to improper fractions. The fraction worksheets for grade 5 helps the student to recall and examine the terms and concepts related to fractions in a comprehensive manner.

The fifth grade fraction worksheets consist of questions based on the following topics:

• Equivalent fractions: The fifth grade fraction worksheets consist of questions in which equivalent fractions are calculated as well as two fractions are compared by forming equivalent fractions. These worksheets also improve the multiplication abilities of students.
• Decimal to fraction and the inverse operation: The fifth grade interactive worksheets contain questions in which the conversion of decimals to fractions is tested, and this conversion is done without simplifying the fraction.
• Improper fractions to mixed numbers and the inverse operation: Improper fractions can be written as mixed numbers. Inversely, mixed numbers can also be written as improper fractions. The fraction worksheets for grade 5 contain questions which helps the student to understand the conversion of fractions.
• Simplifying fractions: The numerators and denominators of a fractions may have common factors. Dividing the numerator and denominator with their common factors until no common factor except 1 exists, is called the simplification of fractions. Students simplify fractions to make the calculation easier.

If you feel the need to refresh your understanding of fractions as a concept, click on the following links:

• Introduction of fractions
• https://byjus.com/us/math/introduction-to-fractions/
• Equivalent fractions and their comparison
• https://byjus.com/us/math/equivalent-fractions-and-their-comparison/
• https://byjus.com/us/math/addition-and-subtraction-of-fractions/
• find the sum of fractions by decomposing the fractions
• https://byjus.com/us/math/find-the-sum-of-fractions-by-decomposing-the-fractions/
• Understand multiples of fractions using unit fractions
• https://byjus.com/us/math/understand-multiples-of-fractions-using-unit-fractions/
• Concept of multiplication in whole numbers and fractions
• https://byjus.com/us/math/concept-of-multiplication-in-whole-numbers-and-fractions/
• Fractions, decimals and Percents
• https://byjus.com/us/math/fractions-decimals-and-percentages/
• Addition and subtraction of fractions
• https://byjus.com/us/math/addition-and-subtraction-of-fractions-2/
• Ordering and comparing Percents, decimals and fractions
• https://byjus.com/us/math/ordering-and-comparing-percents,-decimals-and-fractions /
• Percents and Fractions
• https://byjus.com/us/math/percents-and-fractions/
• Operations on fraction using division of mixed fractions
• https://byjus.com/us/math/operations-on-fractions-using-division-of-mixed-fractions/
• Problem solving using fractions
• https://byjus.com/us/math/problem-solving-using-fractions/

Benefits of 5th Grade Fraction Worksheets:

• Fraction problems (Easy): These fifth grade fraction worksheets help the student to recall the methods and strategies of solving problems related to fractions. The process of solving worksheets starts with the student solving basic operations such as finding equivalent fractions, converting decimals to fractions, and converting improper fractions to mixed numbers.     
• Fraction problems (Medium): These printable fraction worksheets for grade 5 enable the student to relate to real life conditions in which fractions are commonly observed. It also helps the student to strengthen their ability to quickly solve problems on fractions.
• Fraction problems (Hard): These online as well as printable free fraction worksheets for fifth grade help students to understand specific types of problems in which there are either two or more than two steps are part of the solution. This prepares students to create strategies to solve such problems. Such worksheets also help the student to improve their problem solving skills for future grades.    

Printable Interactive Worksheet PDFs:

These free printable fraction worksheets for 5th grade act as an excellent resource to boost skills related to solving problems on fractions, and to prepare students for school tests and other aptitude exams. The 5th grade fraction worksheets assist the student to comprehensively understand methods of solving problems, as the questions are descriptive and are supported with visuals in most cases. An important impact is the application of this understanding of fractions to real life. Attempting challenging questions that appear in higher grades is an added advantage. The math fraction worksheets for grade 5 cover addition and subtraction operations and the application of different types of methods to solve problems related to fractions. Interactive fifth grade fraction worksheets are supported by visuals, making learning interesting, in which students can test their knowledge on fractions by applying the most appropriate method to solve problems. Timed worksheets also help the student to enhance  time management skills, especially while solving particular types of questions. The student can also compare the scores and time taken for a worksheet with friends and challenge them as well.

How is the equivalent fraction of another fraction calculated?

An equivalent fraction is calculated by multiplying a specific number with both the numerator and the denominator of a given fraction. An infinite number of equivalent fractions of a fraction can be calculated. 5th Grade worksheets on fractions also contain multiple problems on equivalent fractions.

How are 5th grade fraction worksheets advantageous to students?

When students solve worksheets on their own, it promotes active learning as they feel a sense of accomplishment. It raises the curiosity level about fractions in relation to specific topics, and in turn, enables them to take up more challenging questions. In the fraction worksheets for grade 5 by BYJU’S Math, students also learn the method of applying step-wise solutions that further strengthens their understanding of operations related to fractions.

How can a student simplify fractions?

The numerator and denominator of a fraction may have common factors. Dividing the numerator and denominator with their common factors until no common factor except 1 exists, is called simplification of fractions.

Why are these interactive worksheets necessary for students?

These free online interactive grade 5 fraction worksheets link learning multiple concepts with a fun element. These worksheets follow the common core math structure and assist the student to be completely familiar with the methods and terms used in 5th grade.

What is done to convert mixed numbers into improper fractions?

A mixed number consists of two parts, one is a whole number and the other is a fraction. Multiplying the denominator of the fraction to the whole number and adding the product to the numerator of the fraction gives the numerator of the improper fraction. The denominator of the fraction remains the same as the denominator of the fraction part of the mixed number.

Fraction Word Problems Worksheets for 5th Graders

These fun fraction word problems worksheets for 5th graders online are all you need to help your child strengthen their knowledge and skills. Make the activity of learning something to look forward to by using these interactive fraction word problems worksheets. Get started now to add fun to your 5th grader's routine!

CONTENT TYPE

• Lesson Plans
• Math (2,607)
• Number Sense (10)
• Compare Numbers (9)
• Order Numbers (1)
• Multiplication (196)
• Times Tables (4)
• Multiplication Properties (76)
• Distributive Property Of Multiplication (40)
• Multiply By Multiples Of 10 (15)
• Multi-Digit Multiplication (110)
• Multiply 2-Digit By 1-Digit Numbers (19)
• Multiply 2-Digit By 2-Digit Numbers (38)
• Multiply 3-Digit By 1-Digit Numbers (5)
• Multiply 3-Digit By 2-Digit Numbers (26)
• Multiply 4-Digit By 1-Digit Numbers (11)
• Division (142)
• Estimate Quotients (10)
• Long Division (86)
• Divide 2-Digit By 1-Digit Numbers (13)
• Divide 3-Digit By 1-Digit Numbers (13)
• Divide 4-Digit By 1-Digit Numbers (14)
• Fractions (387)
• Fractions Using Models (23)
• Fractions On A Number Line (10)
• Compare Fractions (32)
• Order Fractions (18)
• Equivalent Fractions (31)
• Improper Fractions As Mixed Numbers (12)
• Fractions Operations (254)
• Add Fractions (36)
• Add Fractions Using Models (16)
• Add Like Fractions (11)
• Add Unlike Fractions (12)
• Estimate Fraction Sums (4)
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• Subtract Fractions Using Models (15)
• Subtract Like Fractions (11)
• Subtract Unlike Fractions (11)
• Add Mixed Numbers (41)
• Add Mixed Numbers Using Models (12)
• Add A Mixed Number To A Fraction (14)
• Subtract Mixed Numbers (42)
• Subtract Mixed Numbers Using Models (11)
• Subtract A Fraction From A Mixed Number (14)
• Multiply Fractions (40)
• Multiply Fractions Using Models (8)
• Multiply Fractions By Whole Numbers (21)
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• Multiply Mixed Numbers By Whole Numbers (10)
• Multiply Mixed Numbers By Fractions (10)
• Divide Fractions (12)
• Scaling Fractions (10)
• Decimals (1,702)
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• Decimal Subtraction Word Problems (25)
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• Division Word Problems (40)
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• Multi-Step Word Problems (16)
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• Synonyms And Antonyms (5)
• Word Puzzles (18)

Word Problems on Adding Fractions & Mixed Numbers Worksheet

Become a mathematician by practicing word problems on adding fractions & mixed numbers.

Adding Fractions & Mixed Numbers Word Problems Worksheet

Help your child solve word problems on adding fractions & mixed numbers.

Addition Problems Involving Mixed Numbers Worksheet

Solidify your math skills by practicing addition problems involving mixed numbers.

Real Life Problems on Adding Mixed Numbers Worksheet

Boost your ability to solve real life problems on adding mixed numbers with this fun worksheet.

Story Problems on Subtracting Fractions Worksheet

Focus on core math skills with this worksheet by solving story problems on subtracting fractions.

Real Life Problems on Subtracting Fractions Worksheet

In this worksheet, learners will get to solve real life problems on subtracting fractions.

Subtraction Problems Involving Mixed Numbers Worksheet

Reinforce math concepts by practicing subtraction problems involving mixed numbers.

Real Life Problems on Subtracting Mixed Numbers Worksheet

Pack your math practice time with fun by solving real life problems on subtracting mixed numbers.

Fraction Multi-Step Word Problems Worksheet

This downloadable worksheet is designed to practice multi-step word problems on fractions.

Multi-Step Word Problems on Fractions Worksheet

Be on your way to become a mathematician by solving multi-step word problems on fractions.

Problems on Multiplying Unit Fraction by Whole Worksheet

Learners must solve problems on multiplying a unit fraction by a whole to enhance their math skills.

Word Problems on Product of Unit Fraction & Whole Worksheet

Use this worksheet to solve word problems to find the product of a unit fraction & a whole.

Problems on Multiplying Non-Unit Fraction & Whole Worksheet

Focus on core math skills by solving problems on multiplying a non-unit fraction & a whole.

Problems on Product of Whole & Non-Unit Fraction Worksheet

Learners must solve problems to find the product of whole & non-unit fractions.

Problems on Multiplying Whole & Mixed Numbers Worksheet

Practice problems on multiplying whole & mixed numbers like a math legend.

Solve Problems on Product of Whole & Mixed Numbers Worksheet

Assess your math skills by solving problems on product of whole & mixed numbers in this worksheet.

Word Problems on Fraction Addition Worksheet

Reinforce math concepts by practicing word problems on fraction addition.

Word Problems on Adding Fractions Worksheet

Use this worksheet to solve word problems on adding fractions to strengthen your math skills.

Word Problems on Adding Mixed Numbers Worksheet

Use this printable worksheet to solve word problems on adding mixed numbers.

Adding Mixed Numbers Word Problems Worksheet

This downloadable worksheet is designed to practice word problems on adding mixed numbers.

Word Problems on Fraction Subtraction Worksheet

Focus on core math skills with this fun worksheet by solving word problems on fraction subtraction.

Word Problems on Subtracting Fractions Worksheet

Put your skills to the test by practicing word problems on subtracting fractions.

Word Problems on Subtracting Mixed Numbers Worksheet

In this worksheet, learners will get to solve word problems on subtracting mixed numbers.

Subtracting Mixed Numbers Word Problems Worksheet

In this worksheet, learners will practice word problems on subtracting mixed numbers.

Word Problems on Estimating the Answer Worksheet

Boost your ability to solve word problems on estimating the answer with this playful worksheet.

Word Problems Multiplying Fraction by Whole Number Worksheet

Print this worksheet to practice word problems on multiplying fraction by whole numbers.

Multiply Fractions by Whole Numbers Word Problems Worksheet

Develop math skills by practicing word problems on multiplying fractions by whole numbers.

Word Problems on Multiplying Fractions Worksheet

Make math practice a joyride by solving word problems on multiplying fractions.

Real Life Problems on Multiplying Fractions Worksheet

Be on your way to become a mathematician by solving real life problems on multiplying fractions.

Word Problems on Multiplying Mixed Numbers Worksheet

Help your child revise fractions by solving word problems on multiplying mixed numbers.

Real Life Problems on Multiplying Mixed Numbers Worksheet

Solve real life problems on multiplying mixed numbers by printing this playful worksheet.

Word Problems on Unit Conversion Worksheet

This downloadable worksheet is designed to practice word problems on unit conversion.

Problems on Adding and Subtracting Like Fractions Worksheet

A worksheet focused on enhancing students' skills in adding and subtracting like fractions.

Subtraction Word Problem with Unlike Fraction Worksheet

This worksheet provides various word problems aimed at enhancing skills in subtracting unlike fractions.

Word Problems on Multiplying Mixed Number and Fraction Worksheet

Boost your math skills with this worksheet on multiplying mixed numbers and fractions.

Word Problems on Multiplying Two Mixed Numbers Worksheet

Enhance your math skills with this worksheet on multiplying two mixed numbers word problems.

Your one stop solution for all grade learning needs.

Solving Word Problems by Adding and Subtracting Fractions and Mixed Numbers

Learn how to solve fraction word problems with examples and interactive exercises.

Example 1: Rachel rode her bike for one-fifth of a mile on Monday and two-fifths of a mile on Tuesday. How many miles did she ride altogether?

Analysis: To solve this problem, we will add two fractions with like denominators.

Solution: 

Answer: Rachel rode her bike for three-fifths of a mile altogether.

Analysis: To solve this problem, we will subtract two fractions with unlike denominators.

Answer: Stefanie swam one-third of a lap farther in the morning.

Analysis: To solve this problem, we will add three fractions with unlike denominators. Note that the first is an improper fraction.

Answer: It took Nick three and one-fourth hours to complete his homework altogether.

Analysis: To solve this problem, we will add two mixed numbers, with the fractional parts having like denominators.

Answer: Diego and his friends ate six pizzas in all.

Analysis: To solve this problem, we will subtract two mixed numbers, with the fractional parts having like denominators.

Answer: The Cocozzelli family took one-half more days to drive home.

Analysis: To solve this problem, we will add two mixed numbers, with the fractional parts having unlike denominators.

Answer: The warehouse has 21 and one-half meters of tape in all.

Analysis: To solve this problem, we will subtract two mixed numbers, with the fractional parts having unlike denominators.

Answer: The electrician needs to cut 13 sixteenths cm of wire.

Analysis: To solve this problem, we will subtract a mixed number from a whole number.

Answer: The carpenter needs to cut four and seven-twelfths feet of wood.

Summary: In this lesson we learned how to solve word problems involving addition and subtraction of fractions and mixed numbers. We used the following skills to solve these problems: 

• Add fractions with like denominators.
• Subtract fractions with like denominators.
• Find the LCD.
• Add fractions with unlike denominators.
• Subtract fractions with unlike denominators.
• Add mixed numbers with like denominators.
• Subtract mixed numbers with like denominators.
• Add mixed numbers with unlike denominators.
• Subtract mixed numbers with unlike denominators.

Directions: Subtract the mixed numbers in each exercise below.  Be sure to simplify your result, if necessary.  Click once in an ANSWER BOX and type in your answer; then click ENTER. After you click ENTER, a message will appear in the RESULTS BOX to indicate whether your answer is correct or incorrect. To start over, click CLEAR.

Note: To write the fraction three-fourths, enter 3/4 into the form. To write the mixed number four and two-thirds, enter 4, a space, and then 2/3 into the form.

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Unit 7: Divide fractions

About this unit.

Let's tackle dividing fractions! From breaking up fractions by whole numbers to dividing whole numbers by fractions, we'll learn it all. Plus, we'll practice with word problems and visuals to really nail down the concepts.

Fractions as division

• Understanding fractions as division (Opens a modal)
• Creating a fraction through division (Opens a modal)
• Creating mixed numbers with fraction division (Opens a modal)
• Fractions as division Get 5 of 7 questions to level up!
• Fractions as division word problems Get 3 of 4 questions to level up!

Relate fraction division to fraction multiplication

• Multiplication and division relationship for fractions (Opens a modal)
• Relate fraction division to fraction multiplication Get 3 of 4 questions to level up!

Dividing unit fractions by whole numbers

• Visually dividing unit fraction by a whole number (Opens a modal)
• Dividing a unit fraction by a whole number (Opens a modal)
• Dividing unit fractions by whole numbers visually Get 3 of 4 questions to level up!
• Dividing unit fractions by whole numbers Get 3 of 4 questions to level up!

Dividing whole numbers by unit fractions

• Visually dividing whole numbers by unit fractions (Opens a modal)
• Dividing a whole number by a unit fraction (Opens a modal)
• Dividing whole numbers by unit fractions visually Get 3 of 4 questions to level up!
• Dividing whole numbers by unit fractions Get 3 of 4 questions to level up!

Dividing fractions and whole numbers word problems

• Fraction division in context (Opens a modal)
• Dividing fractions and whole number word problems (Opens a modal)
• Divide fractions: FAQ (Opens a modal)
• Fraction and whole number division in contexts Get 3 of 4 questions to level up!
• Divide fractions and whole numbers word problems Get 3 of 4 questions to level up!

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• What is fraction? A fraction is a numerical quantity that is not a whole number. For example, ½ is a fraction of 1 as numerator and 2 as a denominator

Fractions having the same denominator are called like fractions. For example, ½,3/2, 5/2, 7/2, are all like fractions.

• Fractions having different denominators are called, unlike fractions. For example, ½, 2/3, ¾, 4/5, are all unlike fractions
• A fraction whose numerator is less than the denominator is called proper fraction. For example, 8/9, 7/8, 6/7, 5/6 are all proper fractions.
• A fraction whose numerator is greater than the denominator is called improper fraction. For example, 3/2, 4/3, 5/4, 6/5 are all improper fractions.

EXAMPLE 1: Find the fraction of shaded and unshaded part.

EXAMPLE 2: Find the fraction of red balls, green balls and blue balls.

SOLUTION: Total number of balls= 10 Number of red balls= 4

Fraction of red balls= 4/10= 2/5

Fraction of green balls= 5/10= ½

Fraction of blue balls= 1/10

Fraction as a division

• Any fraction can be expressed as a division by writing its numerator as dividend and denominator as divisor

Numerator/Denominator

= Dividend ÷ Divisor

=Dividend/Divisor

EXAMPLE 1: Write 1÷2 as a fraction.

SOLUTION: ½

EXAMPLE 2: Write 2/3 as division.

SOLUTION: 2÷3

To convert a mixed no. into an improper fraction & vice versa

• To convert a mixed number into an improper fraction multiply the quotient with the divisor and add the product with remainder in the numerator. The denominator will contain the divisor.

• To convert an improper fraction into a mixed number, divide the numerator of the fraction by the denominator. Write the quotient as the whole number. The remainder in the numerator and the divisor in the denominator.

Finding and checking equivalent fraction

• To find the equivalent fraction to a given fraction, divide or multiply the numerator or denominator by the same number. (other than zero)

• To check for equivalent fractions, we need two equivalent fraction.

SOLUTION: 2x4=8 3X3=9 8≠9

Hence, the fractions are not equal.

To find a fraction in its lowest term

• A fraction is in its lowest term when the numerator and the denominator don’t have a common factor, except 1.
• There are two methods of finding a fraction in its lowest term. They are: Method 1: Divide the numerator and denominator with their common factor till we are left with only the common factor 1

Method 2: Divide the numerator and denominator of the given fraction with their HCF.

To find the fraction of a number or quantity

• Divide the number by the denominator. Then, multiply the quotient so obtained by the numerator.

EXAMPLE 1: A group has 120 children. 4/5 of them are girls. Find the number of boys.

No. of boys= (120-96) = 24

EXAMPLE 2: Find 1/4 of a year in months.

SOLUTION: A year has 12 months. ¼ X 12 = 3 months [ANS]

To compare unlike fractions

• First find the LCM of the denominators of the given fractions.
• Then convert the unlike fractions into equivalent like fraction with LCM as their common denominator.
• Compare the like fractions.

Convert mixed fractions into improper fractions to compare them.

To add/subtract unlike fractions

• Find the LCM of the denominator of unlike fraction.
• Then convert the unlike fraction into equivalent like fraction with LCM as common denominator.
• Add/subtract the like fraction so obtained.

EXAMPLE 1: Add/subtract ½ and/from 1/6.

SOLUTION: LCM of 2 and 6 is = 2x3=6 2| 2,6 1,3

Reciprocal of a fractional number

• When the product of two fraction is 1, we say that each of the fraction is the reciprocal or multiplicative inverse of the other.

Division of fractions

• Division is repeated subtraction.
• Division by a fraction is same as multiplication by its reciprocal. 0 has no reciprocal. The reciprocal of 1 is 1. 0 divided by any non-zero number = 0

Practice these questions

• LCM of denominators is to be found only while performing addition or subtraction of unlike fractions.
• While multiplying fractions we can change their order, but the product remains the same. (commutative property)
• If a fraction is multiplied by 0, the product is always zero.
• If a fraction is multiplied by 1, the product is the same fraction.
• A fraction is in the lowest term when the only common factor between the numerator and the denominator is 1
• If any of the fraction is a mixed number or a whole number, change it to an improper function and then multiply.

Quiz for Fractions

Your Score: 0 /10

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Fifth grade math

IXL offers hundreds of fifth grade math skills, lessons, and games to explore and learn! Not sure where to start? Go to your personalized Recommendations wall to find a skill that looks interesting, or select a skill plan that aligns to your textbook, state standards, or standardized test.

A. Whole numbers and place value

• 1 Convert between standard and expanded form
• 2 Place value
• 3 Relationship between place values
• 4 Write numbers in words
• 5 Spell word names for numbers up to one million
• 6 Roman numerals I, V, X, L, C, D, M

B. Addition and subtraction

• 1 Estimate sums and differences of whole numbers
• 2 Estimate sums and differences: word problems
• 3 Add and subtract whole numbers up to billions
• 4 Add and subtract whole numbers: word problems
• 5 Complete addition and subtraction sentences
• 6 Properties of addition
• 7 Add using properties

C. Powers of ten

• 1 Understanding powers of ten
• 2 Evaluate powers of ten
• 3 Write powers of ten with exponents

D. Multiplication

• 1 Multiplication patterns over increasing place values
• 2 Multiply numbers ending in zeros
• 3 Multiply numbers ending in zeros: word problems
• 4 Multiply a whole number by a power of ten
• 5 Estimate products
• 6 Estimate products: word problems
• 7 Multiply by 1-digit numbers
• 8 Multiply by 1-digit numbers: word problems
• 9 Multiply by 2-digit numbers: complete the missing steps
• 10 Multiply 2-digit numbers by 2-digit numbers
• 11 Multiply 2-digit numbers by 3-digit numbers
• 12 Multiply 2-digit numbers by larger numbers
• 13 Multiply by 2-digit numbers: word problems
• 14 Multiply by 3-digit numbers
• 15 Properties of multiplication
• 16 Multiply using properties
• 17 Choose numbers with a particular product
• 18 Compare products of whole numbers

E. Division

• 1 Division patterns over increasing place values
• 2 Divide numbers ending in zeros
• 3 Divide numbers ending in zeros: word problems
• 4 Estimate quotients: 2-digit divisors
• 5 Estimate quotients
• 6 Divide multi-digit numbers by 1-digit numbers
• 7 Divide by 1-digit numbers: interpret remainders
• 8 Divide multi-digit numbers by 1-digit numbers: word problems
• 9 Divide by 2-digit numbers using models
• 10 Divide by 2-digit numbers using partial quotients
• 11 Divide 2-digit and 3-digit numbers by 2-digit numbers
• 12 Divide 2-digit and 3-digit numbers by 2-digit numbers: word problems
• 13 Divide 4-digit numbers by 2-digit numbers
• 14 Divide 4-digit numbers by 2-digit numbers: word problems
• 15 Adjust quotients
• 16 Relate multiplication and division
• 17 Complete the division sentence: 2-digit divisors
• 18 Choose numbers with a particular quotient

F. Factors, multiples, and divisibility

• 1 Identify factors
• 2 Prime and composite numbers
• 3 Prime factorization
• 4 Divisibility rules
• 5 Divisibility rules: word problems
• 6 Find all the factor pairs of a number
• 7 Least common multiple

G. Mixed operations: whole numbers

• 1 Add, subtract, multiply, and divide whole numbers
• 2 Add, subtract, multiply, and divide whole numbers: word problems

H. Numerical expressions

• 1 Write numerical expressions: one operation
• 2 Write numerical expressions: two operations
• 3 Evaluate numerical expressions
• 4 Evaluate numerical expressions with parentheses
• 5 Evaluate numerical expressions with parentheses and brackets
• 6 Identify mistakes involving the order of operations
• 7 Evaluate numerical expressions with parentheses in different places
• 8 Missing operators
• 9 Comparison statements with numerical expressions
• 10 Make the largest possible quotient

I. Multi-step word problems

• 1 Write numerical expressions for word problems
• 2 Multi-step word problems
• 3 Multi-step word problems involving remainders
• 4 Multi-step word problems: identify reasonable answers
• 5 Multi-step word problems: multiplicative comparison

J. Fractions and mixed numbers

• 1 Fractions review
• 2 Equivalent fractions
• 3 Write fractions in lowest terms
• 4 Convert between improper fractions and mixed numbers
• 5 Least common denominator
• 6 Round mixed numbers
• 7 Reciprocals

K. Compare fractions

• 1 Graph and compare fractions on number lines
• 2 Compare fractions using benchmarks
• 3 Compare fractions and mixed numbers
• 4 Put fractions in order

L. Add and subtract fractions

• 1 Estimate sums and differences of fractions using benchmarks
• 2 Add fractions with unlike denominators using models
• 3 Add fractions with unlike denominators
• 4 Subtract fractions with unlike denominators using models
• 5 Subtract fractions with unlike denominators
• 6 Add and subtract fractions with unlike denominators
• 7 Add and subtract fractions with unlike denominators: word problems
• 8 Add 3 or more fractions with unlike denominators
• 9 Add 3 or more fractions: word problems
• 10 Complete addition and subtraction sentences with fractions
• 11 Compare sums and differences of fractions

M. Add and subtract mixed numbers

• 1 Estimate sums and differences of mixed numbers
• 2 Add and subtract mixed numbers with unlike denominators: without regrouping
• 3 Add mixed numbers with unlike denominators
• 4 Subtract mixed numbers with unlike denominators
• 5 Add and subtract mixed numbers
• 6 Add and subtract mixed numbers: word problems
• 7 Add and subtract fractions and mixed numbers in recipes
• 8 Complete addition and subtraction sentences with mixed numbers
• 9 Compare sums and differences of mixed numbers

N. Understand fraction multiplication

• 1 Multiply fractions by whole numbers: choose the model
• 2 Multiply fractions by whole numbers using models: complete the equation
• 3 Multiply fractions by whole numbers using number lines
• 4 Multiples of fractions: find the missing numbers
• 5 Multiply fractions by whole numbers using arrays
• 6 Fractions of a number: model and multiply
• 7 Multiply two unit fractions using models
• 8 Multiply two fractions using models

O. Multiply fractions and whole numbers

• 1 Multiply fractions by whole numbers I
• 2 Multiply fractions by whole numbers II
• 3 Multiply fractions by whole numbers: word problems
• 4 Multiply fractions and whole numbers: sorting
• 5 Fractions of a number I
• 6 Fractions of a number: word problems
• 7 Fractions of a number II

P. Multiply fractions

• 1 Multiply two fractions
• 2 Multiply two fractions: word problems
• 3 Multiply three fractions and whole numbers
• 4 Complete the fraction multiplication sentence I
• 5 Complete the fraction multiplication sentence II
• 6 Understand fraction multiplication and area
• 7 Multiply fractions to find area

Q. Understand multiplication with mixed numbers

• 1 Multiply a mixed number by a whole number using a model I
• 2 Multiply a mixed number by a whole number using a model II
• 3 Multiply with mixed numbers using area models

R. Multiply mixed numbers

• 1 Estimate products of mixed numbers
• 2 Multiply a mixed number by a whole number
• 3 Multiply a mixed number by a fraction
• 4 Multiply two mixed numbers
• 5 Multiply mixed numbers, fractions, and whole numbers
• 6 Multiply three mixed numbers, fractions, and whole numbers
• 7 Multiplication with mixed numbers: word problems
• 8 Multiply fractions and mixed numbers in recipes

S. Scaling by fractions

• 1 Scaling whole numbers by fractions: justify your answer
• 2 Scaling whole numbers by fractions
• 3 Scaling fractions by fractions
• 4 Scaling mixed numbers by fractions
• 5 Scaling by fractions and mixed numbers

T. Understand fraction division

• 1 Relate division and fractions
• 2 Understand fractions as division: word problems
• 3 Divide unit fractions by whole numbers using models
• 4 Divide unit fractions by whole numbers using area models
• 5 Divide whole numbers by unit fractions using models
• 6 Divide whole numbers by unit fractions using area models
• 7 Divide unit fractions and whole numbers using area models
• 8 Divide unit fractions and whole numbers using number lines

U. Divide unit fractions and whole numbers

• 1 Divide unit fractions by whole numbers
• 2 Divide whole numbers by unit fractions
• 3 Divide unit fractions and whole numbers
• 4 Divide unit fractions and whole numbers: word problems

V. Mixed operations: fractions

• 1 Add, subtract, multiply, and divide fractions and mixed numbers
• 2 Add, subtract, multiply, and divide fractions and mixed numbers: word problems

W. Decimal place value

• 1 What decimal number is illustrated?
• 2 Place value models for decimal numbers
• 3 Understanding decimals expressed in words
• 4 Place values in decimal numbers
• 5 Relationship between decimal place values
• 6 Convert decimals between standard and expanded form
• 7 Convert decimals between standard and expanded form using fractions
• 8 Compose and decompose decimals in multiple ways
• 9 Round decimals
• 10 Decimal number lines

X. Compare decimals

• 1 Equivalent decimals
• 2 Compare decimals using grids
• 3 Compare decimals on number lines
• 4 Compare decimal numbers
• 5 Put decimal numbers in order
• 6 Compare, order, and round decimals: word problems

Y. Convert between decimals and fractions

• 1 Model decimals and fractions
• 2 Convert fractions to decimals
• 3 Convert mixed numbers to decimals
• 4 Convert decimals to fractions
• 5 Convert decimals to mixed numbers

Z. Compare decimals and fractions

• 1 Compare decimals and fractions on number lines
• 2 Compare decimals and fractions
• 3 Put a mix of decimals and fractions in order
• 4 Put a mix of decimals, fractions, and mixed numbers in order

AA. Add and subtract decimals

• 1 Add decimal numbers using blocks
• 2 Add decimal numbers
• • New! Use properties to add three decimals
• 3 Subtract decimal numbers using blocks
• 4 Subtract decimal numbers
• 5 Add and subtract decimal numbers
• • New! Use compensation to add and subtract decimals
• 6 Add and subtract decimals: word problems
• 7 Choose decimals with a particular sum or difference
• 8 Complete the decimal addition or subtraction sentence
• 9 Compare sums and differences of decimals
• 10 Number sequences involving decimals
• 11 Estimate sums and differences of decimals using rounding
• 12 Estimate sums and differences of decimals using benchmarks

BB. Multiply decimals by powers of ten

• 1 Multiply a decimal by a power of ten
• 2 Multiply a decimal by a power of ten: with exponents
• 3 Multiply by 0.1 or 0.01
• 4 Multiply by a power of ten with decimals: find the missing number

CC. Multiply decimals by whole numbers

• 1 Estimate products of whole numbers and decimals
• 2 Multiply a decimal by a one-digit whole number: tenths or hundredths
• 3 Multiply a decimal by a one-digit whole number using blocks
• 4 Multiply a decimal by a one-digit whole number using the distributive property
• 5 Multiply a decimal by a one-digit whole number
• 6 Multiply a decimal by a two-digit whole number using area models
• 7 Multiply a decimal by a multi-digit whole number
• 8 Multiply decimals and whole numbers: word problems
• 9 Multiply three or more numbers, one of which is a decimal

DD. Multiply decimals

• 1 Estimate products of decimals
• 2 Complete the decimal multiplication sentence using grids
• 3 Multiply decimals using grids
• 4 Multiply two decimals: where does the decimal point go?
• 5 Multiply decimals using area models
• 6 Multiply two decimals: products up to hundredths
• 7 Multiply two decimals: products up to thousandths
• 8 Decimal multiplication: compare products up to hundredths
• 9 Decimal multiplication: compare products up to thousandths

EE. Divide decimals by powers of ten

• 1 Divide by powers of ten
• 2 Decimal division patterns over increasing place values
• 3 Divide by a power of ten: with exponents
• 4 Multiply and divide by a power of ten: with exponents
• 5 Divide by a power of ten with decimals: find the missing number
• 6 Divide by 0.1 or 0.01

FF. Divide decimals

• 1 Estimate decimal quotients
• 2 Divide decimals using blocks: complete the equation
• 3 Divide decimals using area models: complete the equation
• 4 Divide decimals by whole numbers without adding zeros
• 5 Division with decimal quotients
• 6 Division with decimal quotients and rounding
• 7 Division with decimal quotients: word problems
• • New! Divide by decimals using place value
• 8 Divide by decimals without adding zeros
• 9 Divide by decimals

GG. Mixed operations: decimals

• 1 Add, subtract, multiply, and divide decimals
• 2 Add, subtract, multiply, and divide decimals: word problems
• 3 Equations with mixed operations: true or false

HH. Money and time

• 1 Add and subtract money amounts
• 2 Add and subtract money: word problems
• 3 Add and subtract money: multi-step word problems
• 4 Multiply money amounts
• 5 Multiply money amounts: word problems
• 6 Multiply money amounts: multi-step word problems
• 7 Divide money amounts
• 8 Divide money amounts: word problems
• 9 Price lists
• 10 Unit prices
• 11 Find the number of each type of coin
• 12 Convert time units

II. Customary units of measurement

• 1 Compare and convert customary units of length
• 2 Compare and convert customary units of weight
• 3 Compare and convert customary units of volume
• 4 Compare and convert customary units
• 5 Conversion tables - customary units
• 6 Compare customary units by multiplying
• 7 Convert customary units involving fractions
• 8 Convert mixed customary units
• 9 Add and subtract mixed customary units
• 10 Multi-step problems with customary unit conversions

JJ. Metric units of measurement

• 1 Compare and convert metric units of length
• 2 Compare and convert metric units of mass
• 3 Compare and convert metric units of volume
• 4 Compare and convert metric units
• 5 Conversion tables - metric units
• 6 Convert metric mixed units
• 7 Add and subtract metric mixed units
• 8 Multi-step problems with metric unit conversions
• 9 Multi-step problems with customary or metric unit conversions

KK. Number patterns

• 1 Use a rule to complete a number pattern
• 2 Compare patterns
• 3 Complete an increasing number pattern
• 4 Complete a multiplication number pattern
• 5 Number patterns: word problems
• 6 Number patterns: mixed review

LL. Coordinate plane

• 1 Describe the coordinate plane
• 2 Objects on a coordinate plane
• 3 Graph points on a coordinate plane
• 4 Graph triangles and quadrilaterals
• 5 Graph points from a table
• 6 Use a rule to complete a table and a graph
• 7 Analyze graphed relationships
• 8 Coordinate planes as maps
• 9 Follow directions on a coordinate plane

MM. Variable expressions

• 1 Write variable expressions
• 2 Write variable expressions: word problems
• 3 Evaluate variable expressions
• 4 Write variable equations: word problems
• 5 Find a value using two-variable equations
• 6 Complete a table for a two-variable relationship
• 7 Complete a table from a graph
• 8 Graph patterns using rules
• 9 Graph a two-variable relationship
• 10 Write a two-variable equation

NN. Data and graphs

• 1 Interpret line plots with whole numbers
• 2 Create line plots with fractions
• 3 Create and interpret line plots with fractions
• 4 Create line graphs
• 5 Interpret line graphs
• 6 Create bar graphs
• 7 Interpret bar graphs
• 8 Interpret bar graphs: multi-step problems
• 9 Create frequency charts
• 10 Interpret frequency charts: one-step problems
• 11 Interpret frequency charts: multi-step problems
• 12 Create stem-and-leaf plots
• 13 Interpret stem-and-leaf plots
• 14 Create scatter plots
• 15 Interpret scatter plots
• 16 Predictions and trends in scatter plots

OO. Statistics

• 1 Find the mode
• 2 Find the mean
• 3 Find the median
• 4 Find the range
• 5 Mean: find the missing number
• 6 Median: find the missing number
• 7 Range: find the missing number
• 8 Interpret charts and graphs to find the mode
• 9 Interpret charts and graphs to find the mean
• 10 Interpret charts and graphs to find the median
• 11 Interpret charts and graphs to find the range

PP. Triangles

• 1 Acute, obtuse, and right triangles
• 2 Scalene, isosceles, and equilateral triangles
• 3 Classify triangles

QQ. Quadrilaterals

• 1 Parallel sides in quadrilaterals
• 2 Identify parallelograms
• 3 Identify trapezoids
• 4 Identify rectangles
• 5 Identify rhombuses
• 6 Classify quadrilaterals
• • New! Pick all the names for a quadrilateral
• 7 Draw quadrilaterals
• 8 Identify the relationships between quadrilaterals
• 9 Describe relationships among quadrilaterals

RR. Polygons

• 1 Is it a polygon?
• 2 Number of sides in polygons
• 3 Regular and irregular polygons
• 4 Sort polygons into Venn diagrams
• 5 Properties of polygons

SS. Perimeter

• 1 Perimeter with whole number side lengths
• 2 Perimeter with decimal side lengths
• 3 Perimeter with fractional side lengths
• 4 Perimeter of figures on grids
• 1 Area of squares and rectangles
• 2 Area of rectangles with fractions
• 3 Area of rectangles with fractions and mixed numbers
• 4 Area of compound figures
• 5 Area between two rectangles
• 6 Area of figures on grids
• 7 Area and perimeter: word problems
• 1 Volume of irregular figures made of unit cubes
• 2 Volume of rectangular prisms made of unit cubes: expressions
• 3 Volume of rectangular prisms made of unit cubes
• 4 Volume of rectangular prisms made of unit cubes: word problems
• 5 Volume of cubes and rectangular prisms
• 6 Volume of cubes and rectangular prisms: word problems
• 7 Compare volumes and dimensions of rectangular prisms: word problems
• 8 Volume of compound figures
• 9 Volume of cubes and rectangular prisms with decimal side lengths
• 10 Compare and apply cubic units

VV. Financial literacy

• 1 Income and payroll taxes: understanding pay stubs
• 2 Income and payroll taxes: word problems
• 3 Sales and property taxes: word problems
• 4 Identify types of taxes
• 5 Understand gross and net income
• 6 Calculate gross and net income
• 7 Identify advantages and disadvantages of payment methods
• 8 Evaluate payment methods
• 9 Reading financial records
• 10 Keeping financial records
• 11 Balance a budget
• 12 Adjust a budget

Fifth grade lessons

These lessons help you brush up on important math topics and prepare you to dive into skill practice!

Number sense

• Place value
• Prime and composite numbers
• Prime factorization
• Greatest common factor
• Least common multiple

Multiplication

• Multiplying multiples of 10
• Estimating products
• Area model multiplication
• Partial products
• Lattice multiplication
• Multiplying by 1-digit numbers
• Multiplying by 2-digit numbers
• Multiplying by 3-digit numbers
• Long multiplication
• Dividing multiples of 10
• Estimating quotients
• Partial quotients
• Area model division
• Dividing by 1-digit numbers
• Dividing by 2-digit numbers
• Long division

Exponents and powers of 10

• Powers of 10

Properties and mixed operations

• The distributive property
• Order of operations
• Fractions overview
• Understanding fractions
• Fraction area models
• Fractions on a number line
• Fractions of a set
• Equivalent fractions
• Comparing fractions
• Least common denominator
• Simplest form
• Mixed numbers and improper fractions
• Fractions as division

Adding fractions

• Adding fractions with like denominators
• Adding fractions with unlike denominators
• Adding mixed numbers

Subtracting fractions

• Subtracting fractions with like denominators
• Subtracting fractions with unlike denominators
• Subtracting mixed numbers
• Multiplying fractions
• Multiplying fractions and whole numbers
• Multiplying mixed numbers
• Multiplication as scaling

Dividing fractions

• Dividing fractions and mixed numbers
• Dividing fractions by whole numbers
• Dividing whole numbers by fractions
• Reciprocals
• Fractions and decimals
• Converting between fractions, decimals, and percents
• Decimal place value
• Writing decimals in expanded form
• Writing decimals in word form
• Equivalent decimals
• Comparing decimals
• Rounding decimals

Adding and subtracting decimals

• Adding decimals
• Subtracting decimals
• Multiplying decimals
• Multiplying decimals by powers of 10
• Multiplying decimals by whole numbers
• Dividing decimals
• Dividing decimals by powers of 10
• Dividing decimals by whole numbers
• Parallel and perpendicular lines
• Types of angles
• Measuring angles with a protractor
• Types of triangles
• Types of quadrilaterals
• Parallelograms
• Regular polygons
• Area of rectangles
• Area of compound shapes
• Volume of rectangular prisms

Data and measurement

• Metric units of measurement
• Converting metric units
• Customary units of measurement
• Converting customary units
• Frequency tables