Math Problem Solver

\[ \frac{2}{3} + \frac{2}{5} = \frac{16}{15} = 1.0\overline{6} \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{2}{3}\) and \(\frac{2}{5}\) is \(15\). \[ \begin{aligned} \frac{2}{3} + \frac{2}{5} &= \frac{2 \cdot 5}{3 \cdot 5} + \frac{2 \cdot 3}{5 \cdot 3} \\ &= \frac{10 + 6}{15} \\ &= \frac{16}{15} \end{aligned} \]