# How do you find the repeating decimal 0.1 with 1 repeated as a fraction?

##### 1 Answer

Nov 26, 2016

#### Answer:

#### Explanation:

It is useful to know that the decimals which have only 1 digit repeating all come from the fractions which are ninths.

and so on... But why is this?

Let

Now:

Dividing will confirm this:

What do you make of