Posted by Tiffany on .
the numbers M and N are different numbers selected from the first 25 counting numbers: If M is larger than N, what is the smallest value that M * N over MN could have?

Math 
Reiny,
the smallest value of MN/(MN) is obtained when
MN is as small as possible and MN is as large as possible
since M and N are from the first 25 natural numbers
the smallest product is 1x2 or 2
and the largest difference is 251 or 24
the smallest value of MN/(MN) is 2/24 or 1/12 
Math 
Tiffany,
I thought in this problem M and N had to be the same numbers so how could we do 1*2 over 251. Also, M has to be larger than N........still confused.

Math 
Reiny,
In the first line of your problem you said
"M and N are different numbers".
when I formed 25  1 for MN , wasn't my M > N ??? 
Math 
Tiffany,
ok, thanks. I was just thinking I had to use the same number for M & M on the top and bottom of the fraction. I understand now. Thanks so much!