Decimal to Fraction Calculator
Convert decimal numbers into simplified fractions, mixed numbers, and percentage equivalents with clear calculation steps.
Results
Use this Decimal to Fraction Calculator to convert a decimal into a simplified fraction, mixed number, and percentage. You can also find a nearby simple fraction using a maximum denominator.
Calculation Method
For an exact terminating decimal, write the digits over the appropriate power of 10 and simplify the fraction.
For example, a decimal with three digits after the decimal point uses 1,000 as the initial denominator.
Example
Convert 0.375 to a fraction:
0.375 = 375/1000
The greatest common divisor of 375 and 1,000 is 125:
375 ÷ 125 = 3
1000 ÷ 125 = 8
Therefore:
0.375 = 3/8
Important Note
The closest-simple-fraction option gives an approximation when the exact fraction would require a large denominator. This may be useful for rounded measurements, but it is not always mathematically identical to the original value.