Math / CALCULATOR

Decimal to Fraction Calculator

Decimal to Fraction with transparent assumptions and a worked example.

A finite decimal is an exact fraction with a power-of-ten denominator. This tool accepts up to six integer digits and six fractional digits to keep integer arithmetic exact. It does not infer repeating decimals or approximate a rounded measurement as an exact real-world quantity.

Your calculation

Enter your values below.

Use a decimal point; scientific notation and repeating decimals are not supported.

Your calculation is not saved.

Use a decimal point. For single values, enter 1500 rather than 1,500.
YOUR RESULT · Calculating…

Ready when
you are.

Enter your values and select Calculate.

Calculated with unrounded values. Display precision follows each result.

THE WORKING

How this calculator works

A finite decimal is an exact fraction with a power-of-ten denominator. This tool accepts up to six integer digits and six fractional digits to keep integer arithmetic exact. It does not infer repeating decimals or approximate a rounded measurement as an exact real-world quantity.

The formula

Denominator = 10^(decimal places)
Divide numerator and denominator by their greatest common divisor

A quick example

0.75 = 75/100 = 3/4.

How to use this calculator

  1. Enter the labeled values, using a decimal point for fractions.
  2. Check the units and assumptions.
  3. Calculate, review the result and copy it if needed.

A few common questions

How is this result calculated?
Denominator = 10^(decimal places) Divide numerator and denominator by their greatest common divisor
What assumptions should I check?
A finite decimal is an exact fraction with a power-of-ten denominator. This tool accepts up to six integer digits and six fractional digits to keep integer arithmetic exact. It does not infer repeating decimals or approximate a rounded measurement as an exact real-world quantity.
Can I see a worked example?
0.75 = 75/100 = 3/4.

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