Math Problem Solver

\[ \frac{2}{3} + \frac{4}{9} = \frac{10}{9} = 1.\overline{1} \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{2}{3}\) and \(\frac{4}{9}\) is \(9\). \[ \begin{aligned} \frac{2}{3} + \frac{4}{9} &= \frac{2 \cdot 3}{3 \cdot 3} + \frac{4 \cdot 1}{9 \cdot 1} \\ &= \frac{6 + 4}{9} \\ &= \frac{10}{9} \end{aligned} \]