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For how many integer values of n between 1 and 474 inclusive does the decimal representation of \(\frac{n}{3}\) terminate?

 Mar 8, 2022
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All multiples of 3 between 1 and 474 inclusive as follows:

 

[474  -  3] /3  +  1==471 / 3  + 1 ==157  +  1 ==158 such integers.

 Mar 8, 2022

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