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12 July, 20:54

0.41666666666 as a fraction

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  1. 12 July, 23:29
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    First, we let x be the number. Since x is a repeated decimal, we need to get rid of the repeated 6. So we times 1000 to x:

    1000x = 416.6666 ...

    Then we multiply 100 to x:

    100x = 41.66666 ...

    Now, we can subtract them:

    1000x - 100x = 900x

    416.6666 ... - 41.66666 ... = 375

    900x = 375

    Divide both sides by 900:

    x = 375/900

    It just needs to be simplified:

    375/900 = 75/180 = 15/36 = 5/12

    So,

    0.41666666666 = 5/12
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