Let's begin by listing out the given information:
To know which fraction is greater, we will solve for the least common denominator for both fractions
The least common denominator for 2 & 16 = 16
For the first fraction, we have: 9/16
[tex]\frac{9}{16}=\frac{9\cdot1}{16\cdot1}=\frac{9}{16}[/tex]For the second fraction, we have: 8/16
[tex]\frac{1}{2}=\frac{1\cdot8}{2\cdot8}=\frac{8}{16}[/tex]Both fractions now have the same denominator. So, the fraction with the lower denominator is lesser.
[tex]\frac{9}{16}>\frac{1}{2}[/tex]Hence, 9/16 is not lesser than 1/2