Math Problem Solver

$$6\frac{10}{35} + 5\frac{5}{7} = 12$$

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of $\frac{6}{1}$, $\frac{10}{35}$, $\frac{5}{1}$, and $\frac{5}{7}$ is $35$. $$\begin{aligned} 6\frac{10}{35} + 5\frac{5}{7} &= \frac{6 \cdot 35}{1 \cdot 35} + \frac{10 \cdot 1}{35 \cdot 1} + \frac{5 \cdot 35}{1 \cdot 35} + \frac{5 \cdot 5}{7 \cdot 5} \\ &= \frac{210 + 10 + 175 + 25}{35} \\ &= \frac{420}{35} \\&= 12 \end{aligned}$$