Decimal ↔ Fraction Converter

Convert decimals to fractions in simplest form — including recurring decimals like 0.1666… — and fractions to decimals and percentages.

For a recurring decimal, put the repeating digits in brackets: 0.1(6) means 0.1666…

Result

Enter values and press Calculate to see the result.

Formula

0.375=3751000=380.375 = \frac{375}{1000} = \frac{3}{8}

Write the digits over 10, 100, 1000, … then simplify.

0.3‾=39=130.\overline{3} = \frac{3}{9} = \frac{1}{3}

A repeating block of k digits goes over k nines.

How to use this calculator

  1. Choose which way to convert.
  2. For a recurring decimal, put the repeating part in brackets, e.g. 0.(3) or 2.1(45).
  3. Press Calculate to see the fraction, decimal, mixed number and percentage.

Worked example

Turning 0.375 into a fraction

0.375 has three decimal places, so write it over 1000: 375/1000.

Divide top and bottom by 125: 3/8.

Frequently asked questions

How do I enter 0.3333…?

Type 0.(3). The digits in brackets repeat forever. 0.1(6) means 0.16666…

Is 0.999… really equal to 1?

Yes. 0.(9) = 9/9 = 1 exactly — try it.