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Decimal to Fraction Converter

Enter any decimal number — if digits repeat, enter how many digits repeat — and get the exact fraction in simplified form, with every step of the working shown.

How to use

  1. Enter a decimal number.
  2. If the last digits repeat again and again, enter how many repeat; otherwise leave it 0.
  3. The result will show the simplified fraction and all the steps.

Note: for terminating decimals the denominator is a power of 10. For repeating decimals the standard algebra method (the difference of x and 10x) is used.

Tips

  • For a terminating decimal the denominator is a power of 10 (0.75 = 75/100 = 3/4).
  • For repeating decimals enter the count of repeating digits — for 0.333… it is 1.
  • The steps show the algebra used, so you can copy the working into homework.