Question

How do you convert 0.35 (35 repeating) to a fraction?

Answer 1

`35/99`

Explanation:

Set `x=0.353535...` (1) Multiply with `100` both sides to get

`100x=35.3535...` (2)

And subtract the second equation (2) from the first (1) to get

`100x-x=35.3535...-0.3535...`

`99x=35=>x=35/99`

So the requested fraction is `35/99`