Fraction ⇄ Decimal ⇄ Percent Converter
Convert in any direction between fractions, decimals, and percentages, instantly.
Type a fraction (1/2), mixed number (2 1/2), decimal (0.375), or percent (37.5%), get the same value expressed in all three forms. No sign-up, no popups, no ads on top of the answer.
Examples: 1/2 → 0.5 = 50% · 0.375 → 3/8 = 37.5% · 2 1/4 → 2.25 = 225%
How fraction-decimal-percent conversion works
The three forms, fractions, decimals, and percentages, are all ways of expressing the same underlying number. 1/2, 0.5, and 50% all describe the same quantity. Converting between them is just a matter of arithmetic:
- Fraction to decimal: divide the top (numerator) by the bottom (denominator).
3/8= 3 ÷ 8 = 0.375. - Decimal to percent: multiply by 100. 0.375 × 100 = 37.5%.
- Percent to decimal: divide by 100. 37.5 ÷ 100 = 0.375.
- Decimal to fraction: the trickier direction, the calculator finds the closest fraction with a reasonable denominator.
When you'd actually use this
Scaling a recipe that calls for 3/4 cup down to 70% of the original. Converting a grade percentage to a fraction for a student. Reading a measurement on a tape that's marked in 16ths and converting it to a decimal for a spreadsheet. Quick conversions show up everywhere you don't expect.