multiplying fractions word problems grade 7

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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 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 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 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 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 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!

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

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

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

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

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

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

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.

Related Worksheets

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» Ratio Word Problems

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Multiplying Fractions Word Problems

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.

Practice Multiplying Fractions Word Problems

Practice Problem 1

Practice Problem 2

Practice Problem 3

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 on Fraction

In word problems on fraction we will solve different types of problems on multiplication of fractional numbers and division of fractional numbers.

1.  4/7 of a number is 84. Find the number. Solution: According to the problem, 4/7 of a number = 84 Number = 84 × 7/4 [Here we need to multiply 84 by the reciprocal of 4/7]

= 21 × 7 = 147 Therefore, the number is 147.

2.  Rachel took \(\frac{1}{2}\) hour to paint a table and \(\frac{1}{3}\) hour to paint a chair. How much time did she take in all?

3. If 3\(\frac{1}{2}\) m of wire is cut from a piece of 10 m long wire, how much of wire is left?

Total length of the wire = 10 m

Fraction of the wire cut out = 3\(\frac{1}{2}\) m = \(\frac{7}{2}\) m

Length of the wire left = 10 m – 3\(\frac{1}{2}\) m

            = [\(\frac{10}{1}\) - \(\frac{7}{2}\)] m,    [L.C.M. of 1, 2 is 2]

            = [\(\frac{20}{2}\) - \(\frac{7}{2}\)] m,    [\(\frac{10}{1}\) × \(\frac{2}{2}\)]

            = [\(\frac{20 - 7}{2}\)] m

            = \(\frac{13}{2}\) m

            = 6\(\frac{1}{2}\) m

4. One half of the students in a school are girls, 3/5 of these girls are studying in lower classes. What fraction of girls are studying in lower classes?

Fraction of girls studying in school = 1/2

Fraction of girls studying in lower classes = 3/5 of 1/2

                                                            = 3/5 × 1/2

                                                            = (3 × 1)/(5 × 2)

                                                            = 3/10

Therefore, 3/10 of girls studying in lower classes.

5.  Maddy reads three-fifth of 75 pages of his lesson. How many more pages he need to complete the lesson? Solution: Maddy reads = 3/5 of 75 = 3/5 × 75

= 45 pages. Maddy has to read = 75 – 45. = 30 pages. Therefore, Maddy has to read 30 more pages. 6.  A herd of cows gives 4 litres of milk each day. But each cow gives one-third of total milk each day. They give 24 litres milk in six days. How many cows are there in the herd? Solution: A herd of cows gives 4 litres of milk each day. Each cow gives one-third of total milk each day = 1/3 of 4 Therefore, each cow gives 4/3 of milk each day. Total no. of cows = 4 ÷ 4/3                          = 4 × ¾                          = 3 Therefore there are 3 cows in the herd.

Questions and Answers on Word problems on Fractions:

1. Shelly walked \(\frac{1}{3}\) km. Kelly walked \(\frac{4}{15}\) km. Who walked farther? How much farther did one walk than the other?

2. A frog took three jumps. The first jump was \(\frac{2}{3}\) m long, the second was \(\frac{5}{6}\) m long and the third was \(\frac{1}{3}\) m long. How far did the frog jump in all?

3. A vessel contains 1\(\frac{1}{2}\) l of milk. John drinks \(\frac{1}{4}\) l of milk; Joe drinks \(\frac{1}{2}\) l of milk. How much of milk is left in the vessel?

●   Multiplication is Repeated Addition.

●  Multiplication of Fractional Number by a Whole Number.

●  Multiplication of a Fraction by Fraction.

●  Properties of Multiplication of Fractional Numbers.

●  Multiplicative Inverse.

●  Worksheet on Multiplication on Fraction.

●  Division of a Fraction by a Whole Number.

●  Division of a Fractional Number.

●  Division of a Whole Number by a Fraction.

●  Properties of Fractional Division.

●  Worksheet on Division of Fractions.

●  Simplification of Fractions.

●  Worksheet on Simplification of Fractions.

●  Word Problems on Fraction.

●  Worksheet on Word Problems on Fractions.

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5th Grade Math Problems 

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Multiplying and Dividing Fractions Worksheets

Multiplying and Dividing Fractions Worksheets students can learn both Multiplying and Dividing Fractions. Word problems are a great way to help students see the relevance of their learning in everyday life as they apply their knowledge of dividing and multiplying fractions to cooking, crafting, eating, and more. The applications of fractions in everyday life are endless; they are of great importance and profoundly impact everything around us.

Benefits of Multiplying and Dividing Fractions Worksheets

Multiplying and Dividing Fractions Worksheets help students to understand the concept behind the language. These math worksheets make kids learn Fractions with no struggle. Students can learn math skills behind fractions. Understanding and learning to work with fractions is also a process.

Printable PDFs for Multiplying and Dividing Fractions Worksheets

The best approach is to use everyday activities to reinforce the concept. Children can download the pdf format of these easily accessible Multiplying and Dividing Fractions worksheets to practice and solve questions for free.

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Course: 5th grade   >   Unit 6

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Video transcript

• Fifth Grade lessons
• How to multiply fractions word problems

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

• 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 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 by one digit numbers

Multiply numbers ending in zeroes

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

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Free Printable Multiplication Word Problems Worksheets for 7th Grade

Multiplication Word Problems: Discover a collection of free printable worksheets for Grade 7 math teachers, featuring diverse and intriguing multiplication scenarios to enhance students' problem-solving skills.

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Explore printable Multiplication Word Problems worksheets for 7th Grade

Multiplication Word Problems worksheets for Grade 7 are an essential resource for teachers looking to enhance their students' math skills. These worksheets provide a variety of engaging and challenging problems that help students develop their critical thinking and problem-solving abilities. By incorporating real-life scenarios and situations, these worksheets make math more relatable and enjoyable for Grade 7 students. Teachers can utilize these worksheets in their lesson plans to reinforce multiplication concepts, assess student understanding, and provide extra practice for struggling learners. With a wide range of problems, these worksheets cater to different learning styles and abilities, ensuring that every student has the opportunity to excel in math. Multiplication Word Problems worksheets for Grade 7 are a valuable tool for teachers to create a strong foundation in math for their students.

Quizizz is an excellent platform for teachers to access a vast collection of resources, including Multiplication Word Problems worksheets for Grade 7. This platform offers interactive quizzes, engaging games, and other educational materials that cater to various learning styles and preferences. Teachers can easily integrate Quizizz into their lesson plans, providing students with a fun and interactive way to learn and practice math concepts. In addition to worksheets, Quizizz offers a range of other offerings, such as customizable quizzes and progress tracking, which help teachers monitor student performance and identify areas that may require additional support. By incorporating Quizizz into their teaching strategies, educators can create a dynamic and engaging learning environment that fosters a love for math and helps Grade 7 students excel in their Math Word Problems.