What value will replace the question mark in the following question :
$2\frac{1}{2}+3\frac{1}{4}+?+2\frac{1}{3}=13\frac{5}{12}$
[A] $\frac{16}{3}$
[B] $\frac{5}{1}$
[C] $\frac{5}{3}$
[D] None of these