Math Problem Solver

\[ \frac{-3}{4} + \frac{4}{7} = - \frac{5}{28} = -0.17\overline{857142} \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{-3}{4}\) and \(\frac{4}{7}\) is \(28\). \[ \begin{aligned} \frac{-3}{4} + \frac{4}{7} &= \frac{-3 \cdot 7}{4 \cdot 7} + \frac{4 \cdot 4}{7 \cdot 4} \\ &= \frac{-21 + 16}{28} \\ &= \frac{-5}{28} \end{aligned} \]