Math Problem Solver

\[ \frac{7}{11} + \frac{2}{5} = \frac{57}{55} = 1.0\overline{36} \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{7}{11}\) and \(\frac{2}{5}\) is \(55\). \[ \begin{aligned} \frac{7}{11} + \frac{2}{5} &= \frac{7 \cdot 5}{11 \cdot 5} + \frac{2 \cdot 11}{5 \cdot 11} \\ &= \frac{35 + 22}{55} \\ &= \frac{57}{55} \end{aligned} \]