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.
01 / INPUT
Your calculation
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YOUR RESULT · Calculating…
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Calculated with unrounded values. Display precision follows each result.
Check the working.
Read the formula and worked example below to understand your result.
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
Enter the labeled values, using a decimal point for fractions.
Check the units and assumptions.
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.