Why can changing the limit change the fraction?
A larger maximum denominator allows a closer rational approximation to the entered decimal.
Decimal to Fraction Calculator
Convert a decimal value into a simplified fraction.
Calculations happen locally. We do not send your values to our server.
Example
The decimal 0.75 converts exactly to the reduced fraction 3/4. A repeating decimal can be approximated within the chosen denominator limit.
Calculation method
A continued-fraction algorithm finds a close rational representation without exceeding the maximum denominator, and the resulting numerator and denominator are reduced.
Important notes
Most typed decimals are finite approximations, so the returned fraction depends on the selected maximum denominator.
Frequently asked questions
Can it convert negative decimals?
Yes. The sign is applied to the numerator of the resulting fraction.
Is the result always exact?
Terminating decimals may be exact; other values are approximated within the selected denominator limit.