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Among all fractions that have a positive integer numerator and denominator and satisfy 9/11 <= x <= 5/6 which fraction has the smallest denominator?

 Feb 12, 2022
 #1
avatar+122390 
+1

Here's my best effort :

 

Note that, getting common denominators, we have that

9/11 = 54/66 = 108 / 132         

5/6  =  55/66 =  110 / 132

 

The fraction between  these two  with integer numerator / denominator  =   109 / 132 

 

Interested to see if someone else has a better answer  !!!!!

 

cool cool cool

 Feb 12, 2022
 #2
avatar+251 
+4

I won't mess with your expertise :)

but I understood the problem a little differently than how I think you did...?

dolphinia  Feb 12, 2022

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