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26 March, 10:28

What is 0.939393 ... as a fraction

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  1. 26 March, 10:36
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    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
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