# Divide fractions and mixed numbers

## Home learning focus

Learn how to divide fractions and mixed numbers.

This lesson includes:

• two videos
• a learning summary
• two activity worksheets with answers

# Learn

## Dividing fractions

When you divide 10 by 2, you are working out how many 2s there are in 10.

10 ÷ 2 = 5, so there are five 2s in 10.

In a similar way, when dividing 2 by ¹/₂, you are working out how many ¹/₂s there are in 2.

There are four ¹/₂s in 2, so:

2 ÷ ¹/₂ = 4

If you divide 1¹/₂ by ¼ you are working out how many ¼s there are in 1¹/₂.

There are six ¼s in 1¹/₂, so:

1¹/₂ ÷ ¼ = 6

Can you see a pattern forming? Look at those calculations written out in a different way.

• 2 ÷ ¹/₂ = 4 and 2 × 2 = 4, so 2 ÷ ¹/₂ is the same as 2 × 2

• 1¹/₂ ÷ ¼ = 3/2 ÷ ¼ = 6, so 3/2 ÷ ¼ is the same as 3/2 × 4 = 12/2 = 6

So, '÷ ¹/₂' is the same as ‘ × 2’.

and '÷ ¼' is the same as ‘ × 4’.

Top tip - To divide fractions, turn the second fraction upside down, then multiply.

Have a look at the Class Clip below from BBC Teach to learn more about dividing fractions - the section from 02:25 to the end looks at this topic so will help you especially.

## Division with mixed numbers

Remember, a mixed number is made up of a whole number and a fraction, such as 1²/₃.

Now, watch this short video from Pearson to see a demonstration on how to divide fractions when using mixed numbers.

# Practise

## Activity 1

Dividing fractions, mixed numbers and problem solving

Test your skills in dividing fractions and working with mixed numbers by having a go at these worksheets from Hodder Education, also attempting the problem solving section at the end. Write your answers on a piece of paper.