Math Problem Solver

\[ \frac{2}{5} + \frac{2}{15} = \frac{8}{15} = 0.5\overline{3} \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{2}{5}\) and \(\frac{2}{15}\) is \(15\). \[ \begin{aligned} \frac{2}{5} + \frac{2}{15} &= \frac{2 \cdot 3}{5 \cdot 3} + \frac{2 \cdot 1}{15 \cdot 1} \\ &= \frac{6 + 2}{15} \\ &= \frac{8}{15} \end{aligned} \]