Math Problem Solver

\[ \frac{8}{11} + \frac{3}{7} = \frac{89}{77} = 1.\overline{155844} \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{8}{11}\) and \(\frac{3}{7}\) is \(77\). \[ \begin{aligned} \frac{8}{11} + \frac{3}{7} &= \frac{8 \cdot 7}{11 \cdot 7} + \frac{3 \cdot 11}{7 \cdot 11} \\ &= \frac{56 + 33}{77} \\ &= \frac{89}{77} \end{aligned} \]