Question

How do you convert 0.36 (6 repeating) to a fraction?

Answer 1

`0.3666...=11/30`

Explanation:

`x=0.3666..`
(1) `10 x=3.666...`
(2) `100 x=36.666...`
(2)-(1):
`100 x- 10 x=36.666...-3.666...`
`90 x=33`
`x=33/90=11/30`