Decimal to Fraction Calculator
Turn a decimal into a practical fraction using a continued-fraction approximation. Choose the maximum denominator to control whether the result favors a simple fraction or a closer decimal match.
Fraction3/8
Approximate decimal0.375
Approximation error0
Percent37.5%
How this tool works
The calculator uses continued-fraction convergents to find a rational numerator/denominator approximation subject to the maximum denominator.
Example
0.375 converts exactly to 3/8. A repeating or irrational decimal can be approximated with the selected denominator limit.
Common questions
Why is some output an approximation?
Not every decimal value can be represented exactly with a small finite denominator, so the tool finds a close rational fraction.
What does maximum denominator do?
A smaller maximum denominator favors simpler fractions; a larger value can produce a closer approximation.