# How do you convert 0.534 (34 repeating) as a fraction?

##### 1 Answer

Mar 19, 2016

The answer is

#### Explanation:

You need to be able to eliminate the repeating part of the decimal

let x = 0.5343434......

then 1000x = 534.343434.... i)

and 10x = 5.343434... ii)

subtract ii) from I)

1000x = 534.343434

- 10x = 5.343434

```
990x = 529.0000
```

divide both sides by 990

x =