Question

How do you convert 0.2 (2 repeating) as a fraction?

Answer 1

`0.22222222...........=2/9`

Explanation:

Let `x=0.22222222...........` ..................................(1)

then `10x=2.22222222...........` ..................................(2)

Subtracting (1) from (2), we get

`9x=2`

and hence `x=2/9` or

`0.22222222...........=2/9`