Solution:
1/2 is not a useful benchmark to compare 5/8 and 9/10 because if we observe closely we found that
[tex]\frac{1}{2}\times \frac{1}{2}\times \frac{1}{2}\times \frac{1}{2} =\frac{1}{8}[/tex]
and
[tex]\frac{1}{2}\times \frac{1}{2}\times \frac{1}{2}\times \frac{1}{2}\times\frac{1}{2}=\frac{1}{10}[/tex]
In the first case 1/2 comes four times and in the second case 1/2 comes 5 times in multiplication so logically the second number 9/10 should be smaller than the first number 5/8.
But 9 is greater than 5 it mean second number should be greater than the first number.
Both the above two conclusions are contradictory to each other.
Hence we can not use 1/2 as a benchmark to compare 5/8 and 9/10.
