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11 June, 11:09

Convert the repeating decimal to an improper fraction or mixed number. Include your work in your final answer. 3.152

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  1. 11 June, 11:28
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    Assuming the repetitive part is 152, i. e. the original repeating decimal is

    A=3.152152152 ...

    then

    1000A=3152.152152152152 ...

    subtract A

    1000A-A=3152.152152 ... - 3.152152152 ...

    999A=3149

    A=3149/999=3+152/999=3 152/999

    Therefore

    3.152152152 ... = 3149/999 or 3 152/999
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