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If a/b is the probability that the reciprocal of a randomly selected positive odd integer less than 2010 gives a terminating decimal, with a and b being relatively prime positive integers, what is a+b?

 

 

well it has to be # odd powers of 5 up to 2010/# of odd integers between 1-2010 inlcusive. Got 4/1005 4+1005=1009 wrong

 Oct 3, 2020
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The probability is 1/4.

 Oct 3, 2020

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