Math Problem Solver

\[ \frac{5}{7} + \frac{2}{3} = \frac{29}{21} = 1.\overline{380952} \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{5}{7}\) and \(\frac{2}{3}\) is \(21\). \[ \begin{aligned} \frac{5}{7} + \frac{2}{3} &= \frac{5 \cdot 3}{7 \cdot 3} + \frac{2 \cdot 7}{3 \cdot 7} \\ &= \frac{15 + 14}{21} \\ &= \frac{29}{21} \end{aligned} \]