Math Problem Solver

\[ \frac{-5}{8} - \frac{2}{7} = - \frac{51}{56} = -0.910\overline{714285} \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{-5}{8}\) and \(\frac{-2}{7}\) is \(56\). \[ \begin{aligned} \frac{-5}{8} - \frac{2}{7} &= \frac{-5 \cdot 7}{8 \cdot 7} + \frac{-2 \cdot 8}{7 \cdot 8} \\ &= \frac{-35 + -16}{56} \\ &= \frac{-51}{56} \end{aligned} \]