# Recurring Decimal Number to Fraction Conversion

Enter **Decimal Fraction** Value

To use this calculater insert the recurring part and non-recurring part in specified columns.

a) If you have **0.22222...** as decimal, enter the non recurring part **0 in non-recurring** field and **2 in recuring** field.

b) If you have **2.56231231...** as decimal, insert the non recurring part **2.56 in non-recurring** field and mixed recuring number **231 in recuring** field.

## Example:

2/9 will result in 0.2222222...... This is called as recurring decimal.

### Step-by-step solution

Convert a recurring decimal 0.277.. into a fraction

x = 0.277..

10x = 2.77..

100x = 27.77..

Now we have two equations with the same recurring part we subtract one from the otherone(100x - 10x and 27.77.. - 2.77..)

90x =25

=25/90

=5/18