GCSE Maths

Percentages as Fractions

%

As well as writing percentages in decimal form, it's also possible to think of them as fractions. Starting with 1% (one hundredth) we can write 1% = 1/100.

Similarly we can write any percentage as a fraction out of a hundred, but we can often simplify the fraction:

PercentageEquivalent FractionSimplest Fraction
80%8/104/5
50%5/101/2
25%25/1001/4
33·3%333/10001/3

Note that in the last example, 1/3 would be a recurring decimal.


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