Question

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

Answer 1

The answer is `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

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   990x =  529.0000

divide both sides by 990

x = `529/990` which is in its simplified form