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Percentages •Percent comes from ‘per’ ‘cent’ which means ‘every’ ‘hundred’. Therefore: 20% means 20 out of every hundred. That is 20 ÷ 100 20% = = 20 ÷ 100 = 0·2 •To change from percentages to fractions we… Write the value over 100 (divide by 100) •To change from percentages to decimals we… Divide by 100 •To change from decimals to percentages we … Multiply by 100

Percentages Percent comes from ‘per’ ‘cent’ which means ‘every’ ‘hundred’. Therefore: 20% means 20 out of every hundred. That is 20 ÷ 100 20% = = 20 ÷

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Page 1: Percentages Percent comes from ‘per’ ‘cent’ which means ‘every’ ‘hundred’. Therefore: 20% means 20 out of every hundred. That is 20 ÷ 100 20% = = 20 ÷

Percentages• Percent comes from ‘per’ ‘cent’ which means ‘every’

‘hundred’.Therefore: 20% means 20 out of every hundred. That is 20 ÷ 10020% = = 20 ÷ 100 = 0·2

• To change from percentages to fractions we…Write the value over 100 (divide by 100)

• To change from percentages to decimals we…Divide by 100

• To change from decimals to percentages we …Multiply by 100

Page 2: Percentages Percent comes from ‘per’ ‘cent’ which means ‘every’ ‘hundred’. Therefore: 20% means 20 out of every hundred. That is 20 ÷ 100 20% = = 20 ÷

Fractions

• ½ simply means something split in two.• ¾ simply means 3 split into four parts

Therefore:½ is the same as 1 ÷ 2 and ¾ is the same as 3 ÷ 4½ = 1 ÷ 2 = 0· 5 and ¾ = 3 ÷ 4 = 0· 75

• To change from fractions to decimals we …Divide top number (numerator) by the bottom number (denominator)

Page 3: Percentages Percent comes from ‘per’ ‘cent’ which means ‘every’ ‘hundred’. Therefore: 20% means 20 out of every hundred. That is 20 ÷ 100 20% = = 20 ÷

Converting between decimals, fractions and percentages