# Decimal to fraction

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This calculator converts a decimal number to a fraction.

## Convert decimal number to fraction

First, 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 1.4), the denominator will be 10. Therefore, 1.4 = 14/10
For a number with two decimals (like 2.74), the denominator will be 100. Therefore, 2.74 = 274/100
For a number with three decimals (like 15.687), the denominator will be 1000. Therefore, 15.687 = 15687/1000, and so on...

Other examples:

1.5 Rightarrow remove decimal separator Rightarrow 15 Rightarrow we divide by 10 because of 1 decimal Rightarrow 15/10

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

3.235 Rightarrow remove decimal separator Rightarrow 3235 Rightarrow we divide by 1000 because of 3 decimals Rightarrow 3235/1000

## Simplify the resulting fraction

The last step is to simplify the fraction.

Example:

3.235 = 3235/1000

We simplify with the GCD method,

GCD (3235,1000) = 5

3235/1000 = (3235\div5)/(1000\div5) = 647/200

Therefore,

3.235 = 647/200