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

##### 1 Answer
Mar 19, 2016

The answer is $\frac{529}{990}$

#### 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 = $\frac{529}{990}$ which is in its simplified form