# Multiplying Proper Fractions by Whole Numbers

In this worksheet, students use diagrams to multiply proper fractions by whole numbers. Answers may involve mixed numbers.

Key stage:  KS 2

Curriculum topic:   Maths and Numerical Reasoning

Curriculum subtopic:   Fractions

Difficulty level:

#### Worksheet Overview

Look at this diagram, which shows two-fifths of a rectangle shaded.

Let's multiply two-fifths by 2.

This will give 2 lots of two-fifths.

 2 + 2 = 4 5 5 5

This gives four-fifths shaded as shown.

So

 2 × 2 = 4 5 5

Now let's multiply two-fifths by 3.

This will be 3 lots of two-fifths.

 2 + 2 + 2 = 6 5 5 5 5

This gives six-fifths shaded as shown.

So

 3 × 2 = 6 = 1 1 5 5 5

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