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5 August, 08:37

Negative 0.09 repeating as a fraction

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  1. 5 August, 08:53
    0
    We can use a clever trick to solve this problem.

    Call the decimal x. We see that:

    x=-.09999 ...

    and that:

    100x=-9.9999 ...

    Subtracting the second equation from the first, we see that:

    99x=-9.9

    Dividing by 99, we see that x=-.1.
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