Question

How do you convert 0.93 (93 repeating) as a fraction?

Answer 1

First, set x equal to .93

`x = .939393939393 . . .`

Then, since the repeating is by two digits, let's multiply x by 100

This would make `100x = 93.9393939393 . . .`

Now, we can subtract `100x - x`

This would leave us with `99x = 93` because the repeating digits cancel out.

This looks much easier now right?

Just divide the 99 and isolate the x to get `x = 93/99`

Get the simplified fraction, and the final answer is `x = 31/33`