HesapHanem

Decimal to Fraction Converter

Turn any decimal into its simplest fraction.

Result

3/8

How it is calculated

The tool counts the digits after the decimal point, d, and writes the number over 10d: the numerator is the value × 10d and the denominator is 10d. It then finds the greatest common divisor (GCD) with Euclid's algorithm and divides both parts by it, giving the lowest terms. A whole number comes back without a denominator, and the sign is kept in front. The input is read as the text you type, so only finite decimals work. Scientific notation is accepted (1e-5 gives 1/100000), and more than 15 decimals are rounded to 15. A repeating decimal such as 0.3333 gives 3333/10000, not 1/3, because the tool cannot know the digits repeat.

Worked example

Convert 0.375. There are 3 digits after the point, so the denominator is 103 = 1,000 and the numerator is 0.375 × 1,000 = 375, giving 375/1000. The GCD of 375 and 1000 is 125. Dividing both by 125 gives 3 and 8. The result is 3/8.

Try this example →

Common mistakes

  • Typing 0.333 and expecting 1/3. The tool converts exactly what is written, giving 333/1000. Repeating decimals need the fraction typed another way.
  • Using a decimal comma such as 0,375. The input expects a decimal point.
  • Entering a rounded value and expecting the original fraction. 0.50 and 0.5 both reduce to 1/2, but 0.67 gives 67/100, not 2/3.
  • Reading a fraction larger than 1 as wrong. 2.5 gives 5/2, an improper fraction, not 2 1/2.

About this calculator

This tool converts a decimal number into a fraction reduced to its simplest form — for example, turning 0.75 into 3/4 rather than leaving it as an unwieldy fraction over a power of ten — by finding the greatest common divisor between the numerator and denominator.

It is used by students and teachers working through math homework that requires fraction answers, by woodworkers and machinists converting a decimal measurement from a digital caliper into the nearest fraction of an inch used on a tape measure or drill bit set, and by cooks scaling a recipe that lists decimal quantities into more kitchen-friendly fractions.

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Comments (1)

  • Editorial team

    The tool gives the exact fraction of what you type, not the nearest ruler mark. A caliper reading of 0.31 inch becomes 31/100, which no tape measure shows. To get a usable fraction, multiply the reading by 16, round to a whole number, and put that over 16: 0.31 times 16 is 4.96, so 5/16, which the tool then confirms as 0.3125. What precision do you need, sixteenths, thirty-seconds or finer?

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