  ### Comprehensive & curriculum aligned

In this worksheet, students add two simple fractions by first finding their lowest common denominator. Key stage:  KS 3

Curriculum topic:   Number

Curriculum subtopic:   Use Four Operations for All Numbers

Difficulty level:   #### Worksheet Overview

When we add two fractions, they must have the same denominator.

We use equivalent fractions to change them into two fractions with the same lowest common denominator.

Example

Work out

 3 + 1 10 15

We must first find the lowest common multiple of 10 and 15, which is 30.

Then we change each fraction into 30ths.

30 ÷ 10 = 3 so we multiply top and bottom of the first fraction by 3.

30 ÷ 15 = 2 so we multiply top and bottom of the second fraction by 2.

 3 + 1 10 15

 = 3 × 3 + 1 × 2 10 × 3 15 × 2

 = 9 + 2 30 30

 = 11 30

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