Math Problem Solver

\[ \frac{1}{2} + \frac{2}{3} = \frac{7}{6} = 1.1\overline{6} \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{1}{2}\) and \(\frac{2}{3}\) is \(6\). \[ \begin{aligned} \frac{1}{2} + \frac{2}{3} &= \frac{1 \cdot 3}{2 \cdot 3} + \frac{2 \cdot 2}{3 \cdot 2} \\ &= \frac{3 + 4}{6} \\ &= \frac{7}{6} \end{aligned} \]