45 1/2 + 9 2/3=

First do 45 + 9 = 54, then add 1/2 + 2/3 

$$\frac{1}{2}+\frac{2}{3}=\frac{3}{6}+\frac{4}{6}=\frac{7}{6}=1\frac{1}{6}$$

$$45\frac{1}{2}+9\frac{2}{3}= 55\frac{1}{6}$$