# Multiply Fractions Including Mixed Numbers

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

Key stage:  KS 2

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

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.

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).

Does that make sense?

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

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