To find the answer, we can begin by converting 9/16 to a denominator of 32. This can be done by multiplying everything by 2:
9 • 2 = 18
16 • 2 = 32
Our new fraction is 18/32. Now to subtract:
18/32 - 4/32 = 14/32
With our new fraction, we can divide the numerator and denominator by 2 to find that:
18/32 - 4/32 = 7/16
Hence, our final difference is option C.