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What is the smallest positive integer n such that, out of the n unit fractions 1/k where 1 < k < n, exactly half of the fractions give a terminating decimal?

 Jun 3, 2018
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I'm not sure if I understand your question properly. But, I think the smallest positive integer n =8.

So that: 1/2, 1/3, 1/4, 1/5, 1/6, 1/7, exactly half give terminating decimal, namely:

1/2, 1/4, 1/5,  and the other half don't, namely: 1/3, 1/6, 1/7.

 Jun 3, 2018
edited by Guest  Jun 3, 2018

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