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NUMERACY Ratio Simplifying Ratios We simplify ratios in exactly the same way we simplify fractions – find a common factor and divide the numbers in the ratio by that factor. Eg. Simplify 8:20 8 and 20 can both be divided by 4: 8 ÷ 4 = 2 and 20 ÷ 4 = 5 So 8:20 = 2:5 Sharing in a Given Ratio To share in a given ratio, you have to work out how much each share is worth, then multiply by the number of shares each person receives. Eg. Ben and Rupert share £150 between them in the ratio 2:3. How much will they both receive? Total shares = 2 + 3 = 5 1 share = £150 ÷ 5 = £30 Ben: 2 shares = 2 x £30 = £60 Rupert: 3 shares = 3 x £30 = £90 To check that your answer is correct, add the answers together to ensure they add up to the original starting value: 60 + 90 = 150 The Sutton Academy Ratio