Math Problem Solver

\[ \frac{2}{3} + \frac{2}{7} = \frac{20}{21} = 0.\overline{952380} \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{2}{3}\) and \(\frac{2}{7}\) is \(21\). \[ \begin{aligned} \frac{2}{3} + \frac{2}{7} &= \frac{2 \cdot 7}{3 \cdot 7} + \frac{2 \cdot 3}{7 \cdot 3} \\ &= \frac{14 + 6}{21} \\ &= \frac{20}{21} \end{aligned} \]