add 10 5/6 + 7 3/8

Multiply $10$ and $6$ to get $60$. Add $60$ and $5$ to get $65$. Multiply $7$ and $8$ to get $56$. Add $56$ and $3$ to get $59$. Least common multiple of $6$ and $8$ is $24$. Convert $\frac{65}{6}$ and $\frac{59}{8}$ to fractions with denominator $24$. Since $\frac{260}{24}$ and $\frac{177}{24}$ have the same denominator, add them by adding their numerators. Add $260$ and $177$ to get $437$.