N Numeratibase

Free math tool

Decimal To Fraction Converter

Turn a terminating decimal into an exact reduced fraction and see the power-of-ten step that gets you there.

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0.375 2.5 -0.04

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Enter values to get the answer.

This page keeps the calculation direct: answer first, then steps, then explanation and examples.

Steps

  1. Pick one of the example inputs or enter your own values.
  2. Use Solve to generate the direct answer and the conversion steps.
  3. Copy the result or share the URL with the query string intact.

Why it works

A terminating decimal is always some whole number divided by a power of ten. Once it is written that way, you reduce the fraction exactly the same way as any other fraction.

Common mistakes

  • Using the wrong power of ten because you miscounted decimal places.
  • Treating repeating decimals as if they were terminating decimals.
  • Forgetting to reduce the fraction after writing it over a power of ten.

Worked examples

Convert 0.375

0.375 = 375/1000 = 3/8.

Convert 2.5

2.5 = 25/10 = 5/2, which is also 2 1/2.

Practice

  • 0.6
  • 1.125
  • 0.09