To add fractions we have the following rule:
[tex]\frac{a}{b}+\frac{c}{d}=\frac{ad+bc}{bd}[/tex]Then in this case we have:
[tex]\begin{gathered} \frac{7}{8}+\frac{3}{5}=\frac{7\cdot5+8\cdot3}{8\cdot5} \\ =\frac{35+24}{40} \\ =\frac{59}{40} \end{gathered}[/tex]Therefore, the result of the sum is 59/40