Fraction to Percentage

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Fractions and Percentages

A percentage is ‘parts per hundred’ and is written with a % sign which is called ‘percent’.

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Percent to fraction

  • To convert between a percentage and a fraction write the number before the percent sign on the top and 100 on the bottom.
    • 45% is 45 parts per 100 so is equivalent to the fraction 45100=920\frac{45}{100} = \frac{9}{20} .
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Fraction to percent

  • To convert from a fraction to a percent multiply both the top and bottom lines of the fraction by the same amount so that the bottom line equals 100.
    • 1720=85100\frac{17}{20} = \frac{85}{100}= 85%

Jump to other topics


1.1Place Value

1.2Factors & Multiples


1.4Fractions, Decimals & Percentages

1.5Growth & Decay

1.6Measurements & Units



3Ratio, Proportion & Rates of Change

4Geometry & Measures



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