Question

How do we write `0.1234` (all `4` digits repeating) as a fraction?

Answer 1

`x=1234/9999`

Explanation:

Let `x=0.1234123412341234....`

Hence `10000x=1234.123412341234....`

Subtracting former from latter, we get

`9999x=1234`

and `x=1234/9999`