Convert between decimals, fractions and percentages, with repeating decimals handled exactly.
How the decimal calculator works
Decimals, fractions and percentages are three ways of writing the same number, and moving between them is a constant task in school maths and everyday arithmetic. This calculator converts in one step and always reduces.
The mixed number output is useful when the decimal is greater than one, since that is how such answers are usually written.
Try it with these numbers
Worked through, a decimal value of 0.375 produces a as a fraction of 3/8. Underneath, Simplified fraction comes out at 3/8 and Mixed number at 3/8. Change any field and every figure updates as you type.
Getting your answer
- Enter the decimal value.
- Set the repeating digit count if it repeats.
- Read the fraction, mixed number and percentage.
The formula
percentage = decimal × 100
fraction found by continued-fraction approximation, then reduced
FAQ
How do I turn a decimal into a percentage?
Multiply by 100. 0.375 becomes 37.5%.
Why does my fraction differ from the exact value?
If the decimal was rounded before you typed it, the fraction reflects the rounded value. Raise the maximum denominator for a closer match.