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3 votes
What is 0.939393... as a fraction

1 Answer

6 votes

Answer:

93/99 or (simplified) 31/33

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

User Abhijit Mazumder
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