Decimal to Fraction Calculator
Convert a decimal number into a simplified fraction.
How this calculator works
How to use this calculator
1. Enter a finite decimal number, such as 0.75.
2. Click Convert to Fraction.
3. The calculator converts the decimal to a fraction and simplifies it to lowest terms.
Formula used
A finite decimal can be written over a power of 10 based on the number of decimal places, then simplified by dividing the numerator and denominator by their greatest common divisor.
Example rule:
0.75 = 75/100 = 3/4
Example calculation
Example: 0.75
0.75 = 75/100
The greatest common divisor of 75 and 100 is 25.
75 ÷ 25 = 3
100 ÷ 25 = 4
Result = 3/4
What the result means
The result is the simplified fraction equivalent of the decimal you entered. Whole numbers are returned as whole numbers, while finite decimals are reduced to lowest terms.
Frequently asked questions
Can I enter a negative decimal?
Yes. Negative finite decimals are converted to negative fractions.
Can this convert repeating decimals such as 0.333...?
No. The calculator is designed for finite decimal values that you can enter directly.
Why is the fraction simplified?
The numerator and denominator are divided by their greatest common divisor so the result is shown in lowest terms.