We can use the following general rule for the sum of fractions:
[tex]\begin{gathered} \frac{a}{b}+\frac{c}{d}=\frac{a\cdot d+b\cdot c}{b\cdot d} \\ b,d\ne0 \end{gathered}[/tex]then, in this case we have the following:
[tex]\frac{5}{10}+\frac{32}{100}=\frac{5(100)+10(32)}{10(100)}=\frac{500+320}{1000}=\frac{820}{1000}=\frac{82}{100}[/tex]therefore, the final expression is 82/100