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24 January, 09:26

What is the fraction for 0.27 repeating?

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  1. 24 January, 09:27
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    It has a fixed method in regards o finding the fraction for 0.27 repeating. Let us now write down the method for you to understand clearly

    Let us assume that

    x = 0.27272727 ...

    Now let us multiply both sides by 100 to get a second equation

    100x = 27.272727 ...

    Let us now subtract the first equation from the second. We get

    100x = 27.272727 ...

    x = 0.27272727 ...

    We get

    99x = 27

    x = 27/99

    = 3/11

    From the above deduction, we can conclude that the fraction for 0.27 repeating is 3/11.
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