Math Problem Solver

\[ \frac{5}{22} + \frac{2}{11} = \frac{9}{22} = 0.4\overline{09} \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{5}{22}\) and \(\frac{2}{11}\) is \(22\). \[ \begin{aligned} \frac{5}{22} + \frac{2}{11} &= \frac{5 \cdot 1}{22 \cdot 1} + \frac{2 \cdot 2}{11 \cdot 2} \\ &= \frac{5 + 4}{22} \\ &= \frac{9}{22} \end{aligned} \]