# Multiply Fractions Worksheet (with Answer key)

Multiplying fractions can be an easy task to do. But what if a fraction has to be multiplied by a mixed number or whole number? Today, you will learn how to multiply fractions by another fraction, fractions by a whole number, and fractions by a mixed number. It will help you use your existing multiplication skills to find the product of large numbers and knowledge of numerators and denominators.

## What is the “Multiplying Fractions Worksheet (with Answers)”?

Multiplying Fractions Worksheet (with answers) is a math worksheet designed to help learners activate prior knowledge, understand the lesson, and practice their learned skills through a mix of math drills, real-life situation problem-solving, reflection and evaluation, and a challenge that will help them construct their own word problem and solve it. It also contains the answer key for you to confirm if you have solved a problem right or not.

## What is Multiplying Fractions?

Multiplying fraction is a method of multiplying fractions with a number or another fraction. It follows a series of steps that will enable you to arrive at the product correctly.

This worksheet will help you better understand the concept behind multiplying fractions with numbers and fractions and how the step-by-step process is being carefully followed for correct outcomes. With a good understanding of this concept, you can solve real-world problems easily.

## Instructions on how to use the “Multiplying Fractions Worksheet (with Answers)”

Use this math worksheet to carefully study the concept behind the multiplication of fractions and how it is used to get the product of a fraction with a number or fraction. A 12-item activity is given after the lesson in order to exercise the learned concept.

A real-life problem-solving scenario is also given to help the learner understand how this math concept is being used in daily life.

Towards the end of this worksheet, a reflective section is provided in order to help the learner think about their own thinking (metacognition) and assess how they performed in the lesson.

Lastly, it also challenges the learner to come up with his/her own method of multiplying fractions with numbers and fractions.

Conclusion

There are a lot of scenarios regarding the product or multiplication of fractions, i.e., product of fraction and a whole number, product of fraction and a mixed number, and product of fraction and a fraction. It will help you understand all of these scenarios.

Multiply Fractions Worksheet (with Answer key)

Before solving a problem on multiplying fractions, you should know what numerators and denominators are.

Numerator: The number above the fraction bar is the numerator.

Denominator: The number below the fraction bar is the denominator.

Let’s find the product:

Step 1: Multiply numerators.

Step 2: Multiply denominators.

Step 3: Write the result of (1) and (2) in fraction form. Thus,

Step 4: Simplify final answer, i.e.,  in lowest form by dividing numerator and denominator with their common factor.

## Multiplying Fraction by Whole Number

Let’s find the product:

This problem contains a fraction i.e., 5/4 and a whole number i.e., 2.

Step 1:  Multiply the numerator with the whole number.

Step 2: Keep the denominator the same and write the fraction. Thus:

Step 3: Simplify the final answer, i.e.,  in lowest form, by dividing the numerator and denominator with their common factor.

## Multiplying Fractions by Mixed Numbers

In order to multiply fractions by mixed numbers, we first have to convert mixed numbers to improper fractions. Then we multiply it using the same procedure as we have learned in the first section of multiplying fraction by fraction.

Let’s find the product of a fraction and mixed number:

Step 1: First, convert mixed numbers  to an improper fraction by multiplying the denominator by the whole number and adding it to the numerator to get a numerator of improper fraction. Keep the denominator same. i.e.,

Step 2: Now multiply fractions using same procedure as studied in the first section of multiplying fractions.

Since the result 11/20  is already in the lowest form, we can’t simplify it further.

Try out some exercises and practice what you learned today!

## Multiply Fractions Worksheet with Answers

Applying:

Find the product of fractions by fractions.

Find the product of fractions by whole numbers.

Find the product of fractions by mixed numbers.

Problem Solving:

Imagine having 4 slices of a pizza as shown in the figure. Each slice represents one-third of the pizza. What fraction of the pizza do these slices represent? Show your calculation in the box below.

Find the product of fractions by fractions.

Find the product of fractions by whole numbers.

Find the product of fractions by mixed numbers.

Problem Solving.