+0  
 
+1
186
2
avatar+139 

What is the smallest positive integer \(\frac{n}{n+101}\) such that  is equal to a terminating decimal?

 

Thanks!

 Aug 5, 2019
 #1
avatar+6046 
+1

In order for a fraction to have a terminating decimal representation the denominator must 

have factors of only powers of 2 or 5.

 

when n=24, n+101=125 which is 53

 

This appears to be the smallest positive integer meeting the criterion.

 Aug 5, 2019
 #2
avatar+139 
0

Thanks rom :)

 Aug 6, 2019

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