Math Problem Solver

\[ \frac{3}{9} + \frac{1}{3} = \frac{2}{3} = 0.\overline{6} \]

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