Converting percentages to or from fractions and decimals

curriculum-key-fact
To convert from percentages to decimals or fractions, divide by 100.

Example

85\% written as a fraction and as a decimal is:

85\% = \frac{85}{100} = \frac{17}{20}

and

85\% = 85 \div 100 = 0.85

Question

a) Write 67\% as a decimal.

b) Write 5\% as a fraction.

a) 67\% = \frac{67}{100} = 0.67

b) 5\% = \frac{5}{100} = \frac{1}{20}

When changing to, or from, a percentage you can use this table.

Table showing how to convert a fraction or decimal into a percentage
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