We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website. cookie policy and privacy policy.
 
+0  
 
+1
138
2
avatar+128 

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

 

Thanks!

 Aug 5, 2019
 #1
avatar+6045 
+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+128 
0

Thanks rom :)

 Aug 6, 2019

14 Online Users

avatar
avatar
avatar