To reduce a ratio to a simpler form, divide all the numbers in the ratio by the same thing ( a bit like simplifying a fraction. It is in its simplest form when theres nothing left you can divide by.

Example: Write the ratio 15:18 in its simplest form.

For the ratio 15:18, both numbers have a factor three, so divide them by three.

15:18 divided by three= 5:6

You cant reduce this any further. So the simplest form of 15:18 is 5:6.

Proportional Division: Example

Jess, Mo and Greg share £9100 in the ratio of 2:4:7. How much does Mo get?

1) 2+4+7= 13 parts

2) £9100 divided by 13= £700 (=1 part)

3) 4 parts = 4 x 700 = £ 2800

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