Answer :
Given data:
The given expression is 11 1/2 + 3 5/8.
The given expression can be written as,
[tex]\begin{gathered} 11\frac{1}{2}+3\frac{5}{8}=\frac{23}{2}+\frac{29}{8} \\ =\frac{4(23)+29}{8} \\ =\frac{121}{8} \\ =15\frac{1}{8} \end{gathered}[/tex]Thus, the addition of the given fraction can be written as 15 1/2.