Math Problem Solver

\[ 3\frac{2}{9} = \frac{29}{9} = 3.\overline{2} \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{3}{1}\) and \(\frac{2}{9}\) is \(9\). \[ \begin{aligned} 3\frac{2}{9} &= \frac{3 \cdot 9}{1 \cdot 9} + \frac{2 \cdot 1}{9 \cdot 1} \\ &= \frac{27 + 2}{9} \\ &= \frac{29}{9} \end{aligned} \]