*Ratios* are used only to compare quantities. They do not give information about actual values.

The ratio's 3:4, 6:8, 9:12... are different forms of the same ratio. They are called **equivalent ratio's**. They can be found by multiplying/ dividing each part of the ratio by the same number.

To simplify a ratio divide both numbers in the ratio by the same number. A ratio with a whole number that cannot be simplified is in its **simplist form**.

**Sharing in a given ratio.** *EXAMPLE* - James and Sally share £20 in the ratio 3:2. How much do they each get?

Add the numbers in the ratio. 3 + 2 = 5.

For every £5 shared: James gets £3, Sally gets £2.

20 / 5 = 4 There are 4 shares of £5 in £20. James gets £3 x 4 = 12. Sally gets £2 x 4 = £8. So James gets £12 and Sally gets £8.

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