Fraction, Decimal & Percentage Converter
Type a value into any one field — the other two update automatically.
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How to convert between fractions, decimals and percentages
- Type a value into any one box: a fraction, a decimal or a percentage.
- The other two update straight away, with the fraction in its lowest terms.
How this works
Editing the fraction recalculates the decimal and percentage. Editing the decimal or percentage recalculates the other two, with the fraction shown in simplified lowest terms. The fraction is exact for the digits you typed, so 0.333333 gives 333333/1000000; when a much simpler fraction such as 1/3 matches every digit, it is suggested underneath.
Questions about fractions, decimals and percentages
How do I convert a fraction to a percentage?
Divide the top by the bottom and multiply by 100. 3/8 is 3 ÷ 8 = 0.375, which is 37.5%.
How do I convert a decimal to a fraction?
Write it over 1 followed by as many zeros as it has decimal places, then simplify. 0.45 = 45/100 = 9/20.
How do I convert a percentage to a decimal?
Divide by 100, which moves the decimal point two places left. 7.5% is 0.075.
Why does 0.333 not give exactly 1/3?
0.333 is exactly 333/1000, slightly less than a third. When a much simpler fraction such as 1/3 matches every digit you typed, the tool suggests it underneath.