Question

How do you convert 0.57 (57 repeating) to a fraction?

Answer 1

`0.57bar(57) =19/33`

Explanation:

Let `x= 0.57bar(57)`

`100 x= 57.57bar(57)`

`100x - x = 57.57bar(57) - 0.57bar(57) = 57`

`99x =57`

`x=57/99=19/33`