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For how many integer values of  between 1 and 474 inclusive does the decimal representation of n/30 terminate?

 Jun 19, 2021
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Convince yourself that the decimal representation of $n/30$ terminates if and only if $n$ is divisible by 3.   If you believe this, then counting those $n$ between 1 and 474 is a simple matter.

 Jun 19, 2021

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