Decimal to Fraction
Convert any decimal to a simplified fraction or mixed number.
Enter values
—
—
Step by step
The formula
continued-fraction expansion, denominator ≤ 10 000
Terminating decimals convert directly: put the digits over the matching power of ten and simplify. Repeating decimals need approximation, and continued fractions find the simplest fraction closest to your value — which is how 0.3333 resolves neatly to 1/3.
All calculations run locally in your browser and update instantly as you type.
Example calculations
Common questions this calculator answers — select one to load its values.
Related calculators
Frequently asked questions
What about repeating decimals?+
Enter a few repeats (e.g. 0.33333) and the tool finds the closest simple fraction — 1/3 in that case. It searches denominators up to 10,000 using continued fractions.
All calculations run locally in your browser. Nothing you type is sent to a server.