Math Problem Solver

$$\frac{6160}{32} - \frac{5690}{28} = - \frac{75}{7} = -10.\overline{714285}$$

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of $\frac{6160}{32}$ and $\frac{-5690}{28}$ is $224$. $$\begin{aligned} \frac{6160}{32} - \frac{5690}{28} &= \frac{6160 \cdot 7}{32 \cdot 7} + \frac{-5690 \cdot 8}{28 \cdot 8} \\ &= \frac{43120 + -45520}{224} \\ &= \frac{-2400}{224} \\&= - \frac{75}{7} \end{aligned}$$