Decimal to Fraction Calculator

Convert a terminating decimal to its simplified fraction form.

Inputs

Up to 10 digits after the decimal point.

Result

Loading calculator…
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How to use this calculator

  • Enter the decimal value (terminating only).
  • Read the simplified fraction.

About this calculator

A terminating decimal can be converted to a fraction by reading the digits after the decimal point as a numerator and using a power of ten as the denominator, then simplifying. 0.625 = 625/1000, which simplifies (dividing both by 125) to 5/8. For repeating decimals, see the dedicated repeating-decimal-to-fraction approach (not in this tool).

Frequently asked

Does this work for repeating decimals?+
Not directly. For repeating decimals like 0.333…, use the algebraic identity x = 0.333…, 10x = 3.333…, subtract to get 9x = 3, x = 1/3.
How is the answer simplified?+
By dividing numerator and denominator by their greatest common divisor (GCD). 625/1000 → divide by 125 → 5/8.
Can I get a mixed number?+
For improper fractions (numerator > denominator), the breakdown shows both improper and mixed forms.
Why does 0.1 not give 1/10 exactly?+
0.1 in floating point is actually 0.1000000000000000055…. The calculator parses the decimal as a string to avoid this representation issue.
How precise can the input be?+
JavaScript numbers have ~15 significant digits. For very precise fractions, use scientific-notation or the gcd-calculator directly with the desired numerator/denominator.

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