Math Problem Solver

\[ \frac{3}{13} + \frac{17}{39} = \frac{2}{3} = 0.\overline{6} \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{3}{13}\) and \(\frac{17}{39}\) is \(39\). \[ \begin{aligned} \frac{3}{13} + \frac{17}{39} &= \frac{3 \cdot 3}{13 \cdot 3} + \frac{17 \cdot 1}{39 \cdot 1} \\ &= \frac{9 + 17}{39} \\ &= \frac{26}{39} \\&= \frac{2}{3} \end{aligned} \]