  # Add or Subtract Mixed Numbers

In this worksheet, students must add or subtract the given mixed numbers. Key stage:  KS 3

Curriculum topic:   Number

Curriculum subtopic:   Use Four Operations for All Numbers

Difficulty level:   #### Worksheet Overview

In this worksheet, we will learn how to add or subtract mixed numbers by following the given examples.

To add or subtract two mixed numbers, first add or subtract the whole numbers, then the fraction parts.

Look at this example.

3
 3 4
+ 2
 1 6

3 + 2 = 5

Here we turn each fraction into 12ths.

 3 4
 1 6
 3 × 3 12
 1 × 2 12
 9 12
 2 12
 11 12

3
 3 4
+ 2
 1 6
= 5
 11 12

Subtracting

Look at this example.

3
 5 6
- 1
 2 9

3 - 1 = 2

Then subtract the fractions.

Here we turn each fraction into 18ths.

 5 6
-
 2 9
=
 5 × 3 18
-
 2 × 2 18
=
 15 18
-
 4 18
=
 11 18

3
 5 6
- 1
 2 9
= 2
 11 18

Remember to reduce fractions if you can.

So, for example, 6/8 should be reduced to 3/4.

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