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Math Help - Problem with fractions

  1. #1
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    Problem with fractions

    My book has the following exercise



    What must be true of the integers a, and /or b, is \frac {a}{b} terminates when expressed in decimal form (assume that \frac{a}{b} is in its lowest terms)?


    Can someone please help me?









    Thank you!
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by Coach View Post
    My book has the following exercise



    What must be true of the integers a, and /or b, is \frac {a}{b} terminates when expressed in decimal form (assume that \frac{a}{b} is in its lowest terms)?


    Can someone please help me?


    Thank you!
    Well it does not matter what a is as a/b terminates if and only if 1/b terminates.

    1/b terminates if and only if there exist proitive integers n, m such that:

    b=2^n 5^m.

    (I will leave it to you to prove this)

    RonL
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