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Math Help - Decimal Expansion

  1. #1
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    Decimal Expansion

    Suppose that n>1, and the decimal expansion of 1/n has a purely repeating deciaml expansion with period n-1. Prove that n is prime.

    Very lost on how to do this one.
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  2. #2
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    Quote Originally Posted by mndi1105 View Post
    Suppose that n>1, and the decimal expansion of 1/n has a purely repeating deciaml expansion with period n-1. Prove that n is prime.

    Very lost on how to do this one.
    Try this.
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