# Percentage to fraction

Use this online calculator to convert a percentage to a fraction.

## 1.Convert percentage to fraction

The percentage is first converted into a decimal number by dividing it by 100.
Example:

5.2% = 5.2\div100 = 0.052

Then, convert the decimal number into a fraction with a denominator equal to a power of 10 i.e. 10, 100, 1000, 10000... Specifically,
For a number with one decimal (like 0.7), the denominator will be 10. Therefore, 0.7 = 7/10
For a number with two decimals (like 0.64), the denominator will be 100. Therefore, 0.64 = 64/100
For a number with three decimals (like 0.572), the denominator will be 1000. Therefore, 0.572 = 572/1000, and so on...

Other examples:

0.5 Rightarrow remove decimal separator Rightarrow 5 Rightarrow we divide by 10 because of 1 decimal Rightarrow 5/10

0.12 Rightarrow remove decimal separator Rightarrow 12 Rightarrow we divide by 100 because of 2 decimals Rightarrow 12/100

0.935 Rightarrow remove decimal separator Rightarrow 935 Rightarrow we divide by 1000 because of 3 decimals Rightarrow 935/1000

Coming back to our first example, we get,

0.052 Rightarrow remove decimal separator Rightarrow 52 Rightarrow we divide by 1000 because of 3 decimals Rightarrow 52/1000

## 2.Simplify the resulting fraction

In this last step, we simplify the resulting fraction.

52/1000 is simplified with the GCD method,

GCD (52,1000) = 4

52/1000 = (52\div4)/(1000\div4) = 13/250

Therefore,

5.2\% = 13/250