What is 0.939393 ... as a fraction

93/99 or (simplified) 31/33

Step-by-step explanation:

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