Add and Subtract Mixed Number Fractions

In this worksheet, students will add and subtract mixed number fractions

Key stage:  KS 3

Curriculum topic:   Number

Curriculum subtopic:   Use Four Operations for All Numbers

Difficulty level:

Worksheet Overview

In this activity, we will add and subtract mixed number fractions.

As you know, when adding and subtracting fractions,

the denominators must be the same first!

Recap

Method

We look for the lowest common multiple of the denominators 10 and 5 = 10

The first one is already in tenths, so we need to multiply the second one by 2

Now we can add (or subtract if we are asked):

We can even simplify again by dividing through by 5:

In this activity, we will look at adding with mixed number fractions.

Example

Step 1

Convert any mixed number fractions to improper fractions:

Step 2

Rewrite the question with improper fractions:

Step 3

We look for the lowest common multiple of the denominators 2 and 3 = 6

Multiply fractions to make them equivalent:

Step 4

Step 5

Convert back to a mixed number:

11 ÷ 6

This is quite a long process but you will get used to it!

In the meantime, follow the steps!

Let's have a go at some questions now.

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