Math Problem Solver

\[ \frac{-4}{5} + \frac{7}{3} = \frac{23}{15} = 1.5\overline{3} \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{-4}{5}\) and \(\frac{7}{3}\) is \(15\). \[ \begin{aligned} \frac{-4}{5} + \frac{7}{3} &= \frac{-4 \cdot 3}{5 \cdot 3} + \frac{7 \cdot 5}{3 \cdot 5} \\ &= \frac{-12 + 35}{15} \\ &= \frac{23}{15} \end{aligned} \]