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What is the smallest positive n such that n/(2010*7*11) is a terminating decimal?

 Jun 16, 2022
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n /  (2010 * 7 * 11)  =

 

n / (2 *5 *  3 * 7 * 11 * 67)

 

A fraction will  have a terminal decimal representation  when the  denominator is only  a power of  2 or  5  or both

 

So....the smallest  n  that makes this a  terminating decimal  =  3 * 7 * 11 * 67  = 15477

 

The resulting fraction is   1/ (2  * 5)  =   1   / 10

 

cool cool cool

 Jun 16, 2022
edited by CPhill  Jun 16, 2022

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