Math Problem Solver

\[ \frac{3}{13} + 9\frac{5}{18} + 2 = \frac{2693}{234} = 11.5\overline{085470} \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{3}{13}\), \(\frac{9}{1}\), \(\frac{5}{18}\), and \(\frac{2}{1}\) is \(234\). \[ \begin{aligned} \frac{3}{13} + 9\frac{5}{18} + 2 &= \frac{3 \cdot 18}{13 \cdot 18} + \frac{9 \cdot 234}{1 \cdot 234} + \frac{5 \cdot 13}{18 \cdot 13} + \frac{2 \cdot 234}{1 \cdot 234} \\ &= \frac{54 + 2106 + 65 + 468}{234} \\ &= \frac{2693}{234} \end{aligned} \]