Add write your answer as a mixed number in simplest

Given:
[tex]3\frac{1}{2}+5\frac{2}{5}[/tex]We add the whole numbers:
[tex]3+5=8[/tex]Combine the fractions:
[tex]\frac{1}{2}+\frac{2}{5}=\frac{9}{10}[/tex]Then, add:
[tex]8+\frac{9}{10}=8\frac{9}{10}[/tex]Answer:
[tex]\begin{equation*} 8\frac{9}{10} \end{equation*}[/tex]