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

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Answer 1 · 2016-03-12T20:13:05

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 $x = 31/33$