A recurring decimal can be converted to a fraction using powers of 10.

For example: `0. dot3 dot2` could be written as 0.3232323232....

Set x as 0.3232323232...

The number recurs every second digit.

Multiply both x and the number by 10² such that 100x = 32.32323232...

Subtract the original equation from the second equation:

100x = 32.32323232...

x = 0.3232323232.... , and subtract:

99x = 32, and make a fraction such that

`x = frac(32)(99)`.

If the number repeats every digit, multiply by 10; every third digit, multiply by 10³ etc