ANSWER:
[tex]9\frac{1}{8}[/tex]STEP-BY-STEP EXPLANATION:
We have the following sum of mixed numbers:
[tex]\begin{gathered} 6\: \frac{5}{8}+\: 2\: \frac{4}{8} \\ 6+2=8 \\ \frac{5}{8}+\frac{4}{8}=\frac{9}{8}=\frac{8}{8}+\frac{1}{8}=1+\frac{1}{8} \\ \text{ therefore:} \\ 6\: \frac{5}{8}+\: 2\: \frac{4}{8}=8+1+\frac{1}{8}=9\frac{1}{8} \end{gathered}[/tex]