Question

How do you convert 0.36 (36 repeating) to a fraction?

Answer 1

`0.363636363636..................=4/11`

Explanation:

Le `x=0.363636363636..................`

Now as there are two digits repeating immediately after decimal point, we multiply above by `100` and get

`100x=36.363636363636..................`

Now subtracting first equation from second we get

`99x=36` and hence `x=36/99=(9xx4)/(9xx11)=4/11`