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Decimal to fraction calculator

Convert a terminating decimal into an exact reduced fraction.

Result: —

Fill in the fields above — the result is computed on this page.

What do these numbers mean?
  • 0.375 = 375/1000. Divide numerator and denominator by 125 to obtain 3/8. The number of decimal places determines the initial power-of-ten denominator.

Up to 12 decimal places. Recurring notation such as 0.(3) is not supported; 0.333 is exactly 333/1000, not 1/3.

How do I use this page?
  1. Enter values or use the example in the form.
  2. Choose a mode or units where available.
  3. Read the result and check the calculation steps below.

What this page does not do: Up to 12 decimal places. Recurring notation such as 0.(3) is not supported; 0.333 is exactly 333/1000, not 1/3.

Further reading

Theory — how to convert a decimal to a fraction?

Converting a decimal to a fraction means writing it with a denominator that is a power of ten, then reducing it. The number of decimal places determines which power of ten goes into the denominator before reduction. For example, 0.375 becomes 375/1000, and dividing both the numerator and denominator by 125 gives 3/8. This method works only for terminating decimals, not for repeating ones.

Frequently asked questions

How is the result calculated?
0.375 = 375/1000. Divide numerator and denominator by 125 to obtain 3/8. The number of decimal places determines the initial power-of-ten denominator.
What are the limitations?
Up to 12 decimal places. Recurring notation such as 0.(3) is not supported; 0.333 is exactly 333/1000, not 1/3.

See also

← All calculators

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