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 Multiplying fractions word problems

The first two examples will show you how to model the problem with a figure.

Multiplying fractions word problems: How to do this without a figure or an illustration

Adding fractions word problems

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Fraction Multiplication Word Problems Worksheets

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Hold on to our free multiplying fractions word problems worksheets and rest assured about multiplying fractions! An unbeatable bunch of printable practice worksheets, our resources work like magic when the going gets tough in fraction multiplication! Toss off answers to real-life word problems by simplifying fractions when required and finding the product of proper fractions, improper fractions, and mixed numbers with the correct units. Our pdf fraction multiplication word problems worksheets are equipped with answer keys for quick self-validation, too.

These worksheets are well suited for 4th grade through 7th grade students.

Multiplying Fractions by Whole Numbers Word Problems

Let children swing into action and find the product of fractions and whole numbers with accuracy and speed. Kids are required to multiply proper fractions and improper fractions by whole numbers in the word problems here.

Multiplying Fractions by Whole Numbers Word Problems - Customary

Multiplying Fractions by Cross Cancelling Word Problems

Grade 4, grade 5, and grade 6 kids will gain an advantage over their peers by solving these exclusive multiplying fractions word problems worksheets. The set heavily relies on cross cancelling, so the job is twice as easy!

Multiplying Fractions by Cross Cancelling Word Problems - Customary

Multiplying 2 Fractions Word Problems

Watch how our multiplying 2 fractions word problems pdfs light a fire under kids. With a range of real-world scenarios to choose from, children in 5th grade and 6th grade will be at their multiplying-fractions best.

Multiplying 2 Fractions Word Problems - Customary

Multiplying 3 Fractions Word Problems

Don’t mellow out until kids in grade 7 know multiplying fractions like the back of their hand. This set of multiplying 3 fractions word problems worksheets doubles up as a tool to assess children's multiplication skills.

Multiplying 3 Fractions Word Problems - Customary

Multiplying Mixed Numbers Word Problems

Quench learners' quest with the massive practice in our multiplying mixed numbers word problems pdf worksheets. Let them double-check the solutions using the answer keys.

Multiplying Mixed Numbers Word Problems - Customary

Multiplying Mixed Numbers and Fractions Word Problems

Let children bring their A-game as they solve our multiplying fractions word problem worksheets. Read the problems, find the products of mixed numbers and fractions, and obtain solutions with accuracy and ease!

Multiplying Mixed Numbers and Fractions Word Problems - Customary

Related Printable Worksheets

▶ Fraction Division Word Problems

▶ Fraction Addition Word Problems

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Fraction Word Problem Worksheets

Featured here is a vast collection of fraction word problems, which require learners to simplify fractions, add like and unlike fractions; subtract like and unlike fractions; multiply and divide fractions. The fraction word problems include proper fraction, improper fraction, and mixed numbers. Solve each word problem and scroll down each printable worksheet to verify your solutions using the answer key provided. Thumb through some of these word problem worksheets for free!

Represent and Simplify the Fractions: Type 1

Represent and Simplify the Fractions: Type 1

Presented here are the fraction pdf worksheets based on real-life scenarios. Read the basic fraction word problems, write the correct fraction and reduce your answer to the simplest form.

  • Download the set

Represent and Simplify the Fractions: Type 2

Represent and Simplify the Fractions: Type 2

Before representing in fraction, children should perform addition or subtraction to solve these fraction word problems. Write your answer in the simplest form.

Adding Fractions Word Problems Worksheets

Adding Fractions Word Problems Worksheets

Conjure up a picture of how adding fractions plays a significant role in our day-to-day lives with the help of the real-life scenarios and circumstances presented as word problems here.

(15 Worksheets)

Subtracting Fractions Word Problems Worksheets

Subtracting Fractions Word Problems Worksheets

Crank up your skills with this set of printable worksheets on subtracting fractions word problems presenting real-world situations that involve fraction subtraction!

Multiplying Fractions Word Problems Worksheets

Multiplying Fractions Word Problems Worksheets

This set of printables is for the ardently active children! Explore the application of fraction multiplication and mixed-number multiplication in the real world with this exhilarating practice set.

Fraction Division Word Problems Worksheets

Fraction Division Word Problems Worksheets

Gift children a broad view of the real-life application of dividing fractions! Let them divide fractions by whole numbers, divide 2 fractions, divide mixed numbers, and solve the word problems here.

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  • Fifth Grade lessons
  • How to multiply fractions word problems

" class="arrow-title-img"> How to multiply fractions word problems

Lesson summary

  • INTRODUCTION
  • Step 1 IDENTIFY THE PROBLEM
  • Step 2 STRATEGIZE
  • Step 3 SET UP
  • Step 4 PROVIDE A SOLUTION
  • Step 5 CHECK YOUR WORK
  • Examples Examples on how to multiply fractions word problems

Get more contents on this skill...

Here is a simple guide on how to multiply fraction word problems in Grade 5 . This exciting step-by-step guide will offer a well-structured and less complex way of multiplying fraction word problems effortlessly.

In addition, we are here to encourage fifth graders to better understand the relationships between the quantities described by the problem. Thus, making it easier for them to multiply all fraction word problems they encounter.

Most importantly, your kids will aptly transfer the skills they’ll learn from this guide to tackle tasks that include structurally similar but more challenging word problems.

When representing and solving our super exciting word problems, your kids will discover that it is easy to differentiate between irrelevant and relevant information in any fraction multiplication word problem.

Steps on how to solve multiplication of fractions word problems

The purpose of these steps on how to solve multiplication of fractions word problems is to actively engage 5th graser’s minds to understand and solve word problems effortlessly and effectively.

Besides, we believe that providing them with sufficient guidance on how to multiply fractions word problems will unravel the diverse difficulties most learners face when they encounter complex multiplying fractions word problems.

As a result, we have attached some exciting examples below to show them how the process works.

Step 1: IDENTIFY THE PROBLEM

To identify the problem, we’ll first figure out the important fractions and keywords in the word problem. Use these keywords to determine whether the problem involves multiplication or requires any other operation.

However, when multiplying fractions, we look for common keywords such as “of,” “times,” “product of,” “how many,” “how much,” etc.

Note : One key Element for learners to understand is that they should not always rely on keywords alone . That is to say; the same keyword can have different meanings in different word problems . For this reason, we reiterate on the importance of reading the question very carefully to understand the situation that the word problem is describing , then figure out exactly which operation to use

Step 2: STRATEGIZE OR GATHER RELEVANT INFORMATION

How will you solve or tackle the problem?

  • As discussed in step 1 above, the keyword(s) in the word problem will enable you to determine if you need to multiply or perform any other operation.
  • Note that you must not rely only on keywords . Also, try to understand the situation that the problem is describing .
  • After knowing which operation you will perform, construct short expressions/sentences representing the given word problem.

Step 3: CREATE THE EQUATION

Here, we need to compose a numerical expression /a mathematical equation representing the information in the word problem.

Step 4: PROVIDE A SOLUTION

From step 3 above, multiply the numerators and the denominators across. Remember that when multiplying fractions, a common denominator is not needed. Simplify the fraction if possible. Moreover, do not forget to add the unit of measurement to your final answer.

Step 5: CHECK YOUR WORK

Lastly, check if your answer makes sense. For instance, estimate the answer and see if it is close to what you expected. However, if the answer is not what you expected, go back to step one and start all over again.

Find more resources here

Find more practices with these tests online

  • Multiply numbers ending in zeros word problems
  • Multiplying by one digit numbers word problems
  • Multiplying by two digit word problems
  • Multiplying decimals by whole numbers word problems
  • multiplication

Multiplying two fractions

Multiplying two fractions worksheet

Multiplying by one digit numbers

Multiplying by one digit numbers worksheet

Multiply numbers ending in zeroes

Multiply numbers ending in zeroes worksheet

Examples on how to multiply fractions word problems

Example one.

Step 1: You see that the important fractions here are and 3. The keyword found in the word problem is “triple.”

Step 2: How will you solve the problem? This problem asks you to triple the original recipe. So, from the situation the problem is describing and its keyword(s), It shows that you have to perform a multiplication operation .

Now, we have to construct short sentences to represent the given word problem.

  • Fraction of the cup of corn flour that the recipe calls for =
  • Number of times Barbra wants to increase the recipe = 3 times
  • Therefore, the quantity of flour that she used = fraction of the cup of corn flour that the recipe calls for × the number of times Barbra wants to increase the recipe

Step 3: At this point, write down a numerical equation to represent the bolded sentence in step 2 above to solve this word problem:

Step 4: From Step 3 above,

  • First, convert the whole number above into a fraction by dividing the whole number by 1.
  • Then, multiply the numerators across and also multiply the denominators across. Remember that when multiplying fractions, a common denominator is not needed.
  • Simplify the fraction if possible.
  • Do not forget to add the unit of measurement to your final answer.

So, Barbra will use cup of corn flour.

Step 5: Finally, check if your answer makes sense. For instance, estimate the answer and see if it is close to what you expected. However, if the answer is not what you expected, go back to step one and start all over again.

Example Two

Step 1: You see that, after reading the word problem very carefully, you’ll figure out that the most important fractions here are and . As you read further, the keyword in the word problem is “of.”

Step 2: How will you solve the problem? This problem asks you to find of the original portion of shawarma that Lucy ate. From the situation the problem is describing and its keyword, it shows that you have to perform a multiplication operation .

Now, set up short sentences to represent the given word problem.

  • Fraction of the shawarma Grace left =
  • Fraction of the shawarma Lucy ate =
  • Therefore, the fraction of the shawarma that she ate = the fraction of the shawarma Grace left in the fridge × the fraction of the shawarma Lucy ate

Step 3: Then, write down a numerical equation for each bolded sentence in step 2 above to solve this word problem:

So Lucy ate of the shawarma

multiplying fractions word problems with solutions

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Multiplying Fractions Word Problems

multiplying fractions word problems with solutions

The multiplication of fractions is not like the addition or subtraction of fractions, where the denominator should be the same. Here, any two fractions with different denominators can easily be multiplied. The only thing to be kept in mind is that the fractions should not be in the mixed form, they should either be proper fractions or improper fractions.

1. To multiply fractions , multiply the numerators and multiply the denominators. 2. The numerator and denominator of either fraction may have common factors. If this is the case, you can simplify it before multiplying.

\fn_phv {\color{Teal} \frac{2}{3}}

Practice Multiplying Fractions Word Problems

Practice Problem 1

 Multiplying Fractions Word Problems - Practice Problem 1

Practice Problem 2

\fn_phv {\color{Teal} 1\frac{1}{2}}

Practice Problem 3

\fn_phv {\color{Teal} 8\frac{1}{2}}

Numerator – the number above the line in a common fraction showing how many of the parts indicated by the denominator there are.

Denominator – the bottom number in a fraction that shows the number of equal parts an item is divided into. It is the divisor of a fraction.

Proper Fraction – a fraction that is less than one, with the numerator less than the denominator

Improper Fraction – a fraction that is greater than one, with the numerator bigger than the denominator

Like Fractions – fractions with denominators that are same.

Unlike Fractions – fractions with denominators that are different.

Mixed Number – a combination of a whole number and a fraction.

Pre-requisite Skills Equivalent Fractions Write Improper Fractions as Mixed Number Add and Subtract Like Fractions Add and Subtract Unlike Fractions Add and Subtract Mixed Numbers Estimate Products of Fractions Multiply Fractions

Related Skills Add and Subtract Fractions with Like Denominators Add and Subtract Fractions with Unlike Denominators Estimate Sums and Difference of Mixed Numbers Divide Fractions Divide Rational Numbers Divide Mixed Numbers

Word Problems - Fractions (multiplication) (with mixed numbers)

WORD PROBLEMS Fractions (multiplication) (with mixed numbers) pic

Description:  This packet helps students practice solving word problems that require multiplication with mixed numbers. Each page has a set of 7 problems. Each page also has a speed and accuracy guide to help students see how fast and how accurately they should be doing these problems. After doing all 14 problems, students should be more comfortable doing these problems and have a clear understanding of how to solve them. 

Gabe is barely 2$\dfrac{3}{5}$ years old. He has spent $\dfrac{1}{3}$ of his life sleeping or crying. How much of his short life has Gabe spent either sleeping or crying in years?

Emily needs enough fabric for 3$\dfrac{1}{2}$ hats, since she has half a hat done already. If each hat requires 1$\dfrac{2}{7}$ feet of fabric, how much fabric will she need to make the 3$\dfrac{1}{2}$ hats? 

Practice problems require knowledge of how to add, subtract, and multiply whole numbers.

multiplying fractions word problems with solutions

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6 Free Multiplying and Dividing Fractions Word Problems Worksheets

This article will show you the multiplying and dividing fractions word problems worksheets. After reading this article, you will be able to know the procedure of multiplying and dividing fractions with some fundamental word problems. This article is suitable for grade 4 and 5 students.

Download the following worksheets and practice more.

Free Multiplying and Dividing Fractions Word Problems Worksheets

Word Problems 1

Word Problems 2

Word Problems 3

Word Problems 4

Word Problems 5

Word Problems 6

Fractions are common phenomena in mathematical operations. Multiplying and dividing fractions are quite tricky parts of math for 4th-grade or 5th-grade students.

finding the product of multiplying and dividing fractions word problems worksheet

Step by Step Solution of a Word Problem for Multiplying and Dividing Fractions

With the aid of these multiplying and dividing fractions word problems worksheets pdf, our kids will be able to master fundamental mathematics quickly and actively. Follow the steps given below and solve the problems.

A restaurant brought 5 ⅓ pounds of flour. They needed to spend 25 ⅔ dollars in total to buy that amount of flour. How many dollars were spent on one unit of flour?

Step 1: Point out the Fractions

In this step, point out the fractions. Here, the amount of flour is 5 ⅓ pounds and cost is 25 ⅔ dollars.

Step 2: Change the Mixed Fraction into Improper Fractions

Change the mixed fractions into improper fractions here. First, multiply the denominator by the whole number and then add the product to the numerator. You will get the improper fractions: 5 ⅓ = 16/3 and 25 ⅔ = 77/3

Step 3: Get the Unit Cost

Divide the total cost by the total amount of flour. You will find the unit cost here. Therefore, 77/3 / 16/3 After flipping, 77/3 x 3/16 = 77/16 = 4 13/16. So the unit cost is 4 13/16.

step by step procedure of solving the multiplying and dividing fractions word problems worksheets

Download Free PDF Worksheet

Please download the following pdf with worksheets for 4th and 5th-grade students.

So today, we’ve discussed multiplying and dividing fractions with multiplying and dividing fractions word problems worksheets using the concepts of interactive word problems. Download our free worksheets, and after practicing these worksheets, students will surely improve their mathematical skills and have a better understanding of multiplication and division.

6 Free Multiplying and Dividing Fractions Word Problems Worksheets

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Fractions: mixed operations

Fraction word problems with the 4 operations.

These word problems involve the 4 basic operations ( addition, subtraction, multiplication and division ) on fractions .  Mixing word problems encourages students to read and think about the questions, rather than simply recognizing a pattern to the solutions.  

multiplying fractions word problems with solutions

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COMMENTS

  1. Multiplying fractions word problems

    Math Grade 5 Word Problems Multiplying fractions Multiplying fractions word problems Including estimating These grade 5 word problems involve the multiplication of common fractions by other fractions or whole numbers. Some problems ask students between what numbers does the answer lie? Answers are simplified where possible.

  2. Multiplying Fractions Word Problems

    April 25, 2022 Multiplying Fractions Word Problems Table of Contents show I guess maybe some students get it from their parents. After all, I know that I have been known to grumble about things I learned in school, but never used in real life.

  3. Multiply fractions word problems (practice)

    Course: 5th grade > Unit 6. Lesson 6: Multiplying fractions word problems. Multiplying fractions word problem: muffins. Multiplying fractions word problem: laundry. Multiplying fractions word problem: bike. Multiply fractions word problems.

  4. Fraction Multiplication Word Problems Worksheets

    Our printable worksheets on multiplying fractions word problems task grade 4 through grade 7 students with reading and solving realistic scenarios by performing fraction multiplication. The problems feature both common and uncommon denominators, so the budding problem-solving stars must follow the correct procedure to obtain the products.

  5. Multiplying Fractions Word Problems

    Solution This word problem requires multiplication of fractions. Instead of adding 1/4 eight times, we can just do the following: 1/4 × 8 = 1/4 × 8/1 = (1 × 8)/ (4 × 1) = 8/4 = 2 To make 8 recipes, we need 2 tablespoons of salt. Example #4: Peter's truck gets him 10 2/3 miles per gallon.

  6. Solving Problems by Multiplying and Dividing Fractions and Mixed Numbers

    Solution: Answer: Elena got 3/8 of the original box of cupcakes. Example 3: Nina's math classroom is 6 and 4/5 meters long and 1 and 3/8 meters wide. What is the area of the classroom? Analysis: To solve this problem, we will multiply these mixed numbers. But first we must convert each mixed number to an improper fraction. Solution:

  7. Fraction Multiplication Word Problems Worksheets

    Explore our free pdf multiplying fractions word problems worksheets and practice multiplication of fractions to accurately solve real-world scenarios.

  8. Multiply fractions

    Unit 2 1-digit multiplication. Unit 3 Intro to division. Unit 4 Understand fractions. Unit 5 Place value through 1,000,000. Unit 6 Add and subtract through 1,000,000. Unit 7 Multiply 1- and 2-digit numbers. Unit 8 Divide with remainders. Unit 9 Add and subtract fraction (like denominators) Unit 10 Multiply fractions.

  9. Multiplying fractions word problem: muffins

    • 5 comments ( 22 votes) Upvote Flag Jacob Mikkelsen 9 years ago Yes you can! Dividing by a number is the same as multiplying by its reciprocal. To find the reciprocal of a number we swap the numerator and denominator. Just be careful not to get confused when saying you divide a fraction by something.

  10. IXL

    First time here? Pre-K through 12th grade Sign up now Keep exploring Improve your math knowledge with free questions in "Multiply two fractions: word problems" and thousands of other math skills.

  11. Multiplying Fractions Practice Questions

    The Corbettmaths Practice Questions on Multiplying Fractions. Previous: Increasing/Decreasing by a Fraction Practice Questions

  12. Fraction Word Problems Worksheets

    Featured here is a vast collection of fraction word problems, which require learners to simplify fractions, add like and unlike fractions; subtract like and unlike fractions; multiply and divide fractions. The fraction word problems include proper fraction, improper fraction, and mixed numbers.

  13. How to multiply fractions word problems

    Step 1 IDENTIFY THE PROBLEM. Step 2 STRATEGIZE. Step 3 SET UP. Step 4 PROVIDE A SOLUTION. Step 5 CHECK YOUR WORK. Examples Examples on how to multiply fractions word problems. Example 1 Example 2. Get more contents on this skill... Online training.

  14. Multiplying fractions word problems

    Below are three versions of our grade 4 math worksheet with word problems involving the multiplication of fractions by whole numbers. students are asked to answer and interpret word problems where fractional amounts are multiplied by whole numbers. They are also asked to simplify answers if possible.

  15. Multiplying Fractions Word Problems

    Multiplying Fractions Word Problems. Concept. The multiplication of fractions is not like the addition or subtraction of fractions, where the denominator should be the same. Here, any two fractions with different denominators can easily be multiplied. ... Write the solution as a whole number, simplified fraction, or mixed number. Practice ...

  16. Word Problems

    Packet includes: 14 practice problems and an answer key. Description: This packet helps students practice solving word problems that require multiplication with mixed numbers. Each page has a set of 7 problems. Each page also has a speed and accuracy guide to help students see how fast and how accurately they should be doing these problems.

  17. Multiplying fractions by whole numbers word problem

    Rishi spent 3/4 of an hour for two days, so two times, he spent 3/4 of an hour. Or another way we could say this, is he spent 3/4 of an hour once, plus on a second day he spent another 3/4 of an hour. So 3/4 plus another 3/4 will give us a total of 6/4, or six quarter hours, that Rishi spent on his science project. Now let's look at Kyle.

  18. PDF Multiplying Fractions Word Problems

    Maths | Year 6 | Fractions | Multiplying Fractions | Lesson 2 of 3: Word Problems Multiplying Fractions Word Problems Answers For each word problem, multiply the fractions together to find the answer. Show your working out. 1. A group of children play in an orchestra. of the children play a brass instrument. Of these children, play a trumpet.

  19. Multiplying Fractions By Whole Numbers Word Problems

    May 11, 2022 Multiplying Fractions by Whole Numbers Word Problems Table of Contents show Grab these 20 multiplying fractions by whole numbers word problems that get children multiplying fractions by whole numbers using real-life examples. The cards also encourage children to model.

  20. Word Problems with Fractions

    Answer: Word problems with fractions: involving a fraction and a whole number Finally, we are going to look at an example of a word problem with a fraction and a whole number. Now we will have to convert all the information into a fraction with the same denominator (as we did in the example above) in order to calculate

  21. 6 Free Multiplying and Dividing Fractions Word Problems Worksheets

    With the aid of these multiplying and dividing fractions word problems worksheets pdf, our kids will be able to master fundamental mathematics quickly and actively. Follow the steps given below and solve the problems. Problem: A restaurant brought 5 ⅓ pounds of flour. They needed to spend 25 ⅔ dollars in total to buy that amount of flour.

  22. Multiply fractions and whole numbers word problems

    Course: 4th grade > Unit 9 Lesson 4: Multiplying whole numbers and fractions word problems Multiplying fractions word problem: milk Multiplying fractions word problem: movies Math > 4th grade > Multiply fractions > Multiplying whole numbers and fractions word problems Multiply fractions and whole numbers word problems Google Classroom

  23. Fractions: mixed operations word problems

    These word problems involve the 4 basic operations ( addition, subtraction, multiplication and division) on fractions. Mixing word problems encourages students to read and think about the questions, rather than simply recognizing a pattern to the solutions. Worksheet #1 Worksheet #2 Worksheet #3 Worksheet #4. Worksheet #5 Worksheet #6.