Overview
Every terminating decimal can be written as a fraction. For example, 0.75 equals 75/100, which simplifies to 3/4. Enter the decimal and we will show the simplified fraction and mixed number.
Formula
Write the number without the decimal point as the numerator, put 10^(number of decimal places) in the denominator, then simplify.
How it works
Enter the decimal
It can be positive or negative.
Count the decimal places
Each decimal place multiplies the denominator by 10.
Simplify the fraction
Divide both parts by their greatest common divisor.
Worked examples
Example 1: 0.75
0.75 = 75/100 = 3/4.
Example 2: 1.25
1.25 = 125/100 = 5/4 = 1 1/4.
Frequently asked questions
Can every decimal be converted to a fraction?
Every terminating decimal can be converted. Repeating decimals need a special algebraic method and can be approximated here.
How are negative numbers handled?
The absolute value is converted to a fraction, then the negative sign is placed on the numerator.
What is a mixed number?
A whole number plus a fraction, such as 1 1/4, which equals 5/4.
This calculator is for educational and informational purposes only and is not a substitute for professional advice.