Math Problem Solver

\[ \frac{-2}{5} + \frac{7}{15} = \frac{1}{15} = 0.0\overline{6} \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{-2}{5}\) and \(\frac{7}{15}\) is \(15\). \[ \begin{aligned} \frac{-2}{5} + \frac{7}{15} &= \frac{-2 \cdot 3}{5 \cdot 3} + \frac{7 \cdot 1}{15 \cdot 1} \\ &= \frac{-6 + 7}{15} \\ &= \frac{1}{15} \end{aligned} \]