Math

Decimal to Fraction Calculator

Convert a terminating decimal to a reduced fraction and mixed number.

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Decimal to Fraction Calculator

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Fractions, Ratios & Proportions

Fraction arithmetic, decimal-to-fraction conversion, ratios and proportions.

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How to use this decimal to fraction calculator

Enter the values requested above and select Calculate. Change any input to compare another scenario. The calculation runs locally in your browser and does not require an account.

Formula and method

Write the decimal over a power of 10 based on its number of decimal places, then divide numerator and denominator by their greatest common divisor.

Example

0.375 = 375/1000, which reduces to 3/8.

What this calculator is useful for

Convert a terminating decimal to a reduced fraction and mixed number. The result is intended for quick estimates, checking arithmetic and comparing scenarios. When a result affects a contract, tax filing, medical decision, building-code requirement or other high-stakes situation, verify the result with the appropriate professional or authoritative source.

Convert a terminating decimal exactly

The decimal 0.125 is 125/1,000. Divide numerator and denominator by 125 to get 1/8. This is a useful way to switch between decimal measurements and common fractions.

Precision note: 0.333 is exactly 333/1000, not exactly 1/3. Repeating decimals need a repeating-digit convention or approximation, and very long decimal inputs can exceed the precision of ordinary browser numbers.

Frequently asked questions

What does the Decimal to Fraction Calculator calculate?

Convert a terminating decimal to a reduced fraction and mixed number.

How does the Decimal to Fraction Calculator work?

Write the decimal over a power of 10 based on its number of decimal places, then divide numerator and denominator by their greatest common divisor.

Is the Decimal to Fraction Calculator free to use?

Yes. ERICH Calculators is free to use and does not require an account.

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Method, assumptions & corrections

See how formulas, sources and limitations are handled across ERICH Calculators.