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Decimal to fraction

Turn a decimal into a fraction, repeating decimals too, with the steps and the nearest sixteenth of an inch. Free, with no account or uploads.

Turn a decimal into a fraction

Type the decimal. Put digits that repeat in brackets, as in 0.1(6), or end it with dots.

Which way?
Decimal to fractionFraction to decimal

Put digits that repeat in brackets, 0.1(6), or end with dots: 0.1666…

0.375 as a fraction

3/8

The part after the point, to the nearest mark on a ruler

  • Halves: 1/2 (+0.125)
  • Quarters: 1/2 (+0.125)
  • Eighths: 3/8 (exact)
  • Sixteenths: 3/8 (exact)
  • Thirty-seconds: 3/8 (exact)
  • Sixty-fourths: 3/8 (exact)

How it is worked out

  1. There are 3 digits after the point, so put it over 1,000.0.375 = \frac{375}{1000}
  2. Simplify: divide the top and the bottom by 125, the largest number that goes into both.\frac{375}{1000} = \frac{3}{8}
How it works and help
Every fraction is kept exact, step by step, on your device. Nothing you type is sent anywhere.

A little help along the way

Follow these steps. Everything is worked out exactly in your browser; nothing is sent anywhere.

  1. Say what you want to doWork with fractions is the usual. The others simplify a ratio, find x or share out a total, turn decimals and fractions into each other, and work with picture sizes.
  2. Type the numbersFractions as 3/4, mixed numbers as 1 1/2, ratios with colons as 12 : 18, and repeating decimals with brackets as 0.1(6).
  3. Read the answer and every stepThe answer is drawn as a textbook would, with each step under it.

Questions people ask

How do I turn a repeating decimal into a fraction?
Put the digits that repeat in brackets, as in 0.1(6), or end with dots, as in 0.1666… The page shows the usual method: multiply to move the repeating digits past the point, take one from the other so they cancel, then simplify.
What fraction is 0.375?
3/8. There are three digits after the point, so it is 375/1000, and dividing the top and bottom by 125 gives 3/8.
Can it give the nearest fraction of an inch?
Yes. For a decimal such as 0.3, the page lists the nearest halves, quarters and so on down to sixty-fourths, each with how far off it is, as marked on a tape measure.

This page is the Fraction and ratio calculator, opened for this one job; every other tool it has is one press away. Each of its settings is explained on the Fraction and ratio calculator's own page.

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