# How do you convert 0.18 (18 repeating) to a fraction?

##### 1 Answer

Mar 17, 2016

#### Answer:

#### Explanation:

Let's begin by setting

The next step is a bit of a trick where we multiply by a power of 10 such that what remains to the right of the decimal is the repeating fraction itself, i.e.

which can be re-written

subtracting

and finally