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March 28, 2017

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Which digit will appear in the 534th place after the decimal point in the decimal representation of 5/13?

  • Algebra - ,

    5/13 = .384615384615..

    so the repeat is 384615 , namely 6 digits long
    534/6 = 89 with Remainder 0 , making 534 a multiple of 6

    so the 6th digit will be a 5
    and the 12th digit will be a 5
    and the 18th digit will be a 5
    ...
    and the 528th digit will be a 5
    and the 534th digit will be a 5

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