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17 May, 13:08

What is 0.16666666 ... as fraction. show your work

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  1. 17 May, 13:31
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    Answer: 1/6

    Work Shown:

    x = 0.1666666 ...

    10x = 1.666666 ...

    100x = 16.666666 ...

    100x - 10x = 16.666666 ... - 1.666666 ...

    90x = 15

    x = 15/90

    x = (1*15) / (6*15)

    x = 1/6

    So, 1/6 = 0.1666666 ...
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