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Multiply Fractions Including Mixed Numbers

In this worksheet, students will solve problems involving multiplying proper fractions, writing the answer in its simplest form.

'Multiply Fractions Including Mixed Numbers' worksheet

Key stage:  KS 2

Year:  Year 6 Maths worksheets

Curriculum topic:   Number: Fractions, Decimals and Percentages

Curriculum subtopic:   Multiply Proper Fractions

Difficulty level:  

Worksheet Overview

In this activity, we will be learning to multiply proper fractions. 

 

A proper fraction is one where the numerator is smaller than the denominator. 

Proper fractions are worth less than one whole. 

 

Let's look at the method of multiplying fractions!

 

Step 1: Multiply the numerators together.

Step 2: Multiply the denominators together.

Step 3: Simplify the fraction if necessary. 

 

 

1 x 2 = 2

9 x 3 = 27

 

The answer is:

2/27

We cannot simplify 2/27 since there is no common factor of 2 and 27.

 

Let's try an example question together. 

 

Example

Work out the following, remembering to give your answer in its lowest terms.

 

 

Answer

Step 1: Multiply the numerators together.

3 x 4 = 12

 

Step 2: Multiply the denominators together.

5 x 8 = 40

 

Step 3: Simplify the fraction if necessary. 

12/40 can be simplified to 3/10 when we divide both the numerator and denominator by the same factor (4).

 

The answer will be 3/10.

 

Does that make sense?

Now it's time to try some questions like this for yourself. 

 

boy writing

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