Math Problem Solver

\[ 2\frac{7}{18} + \frac{17}{12} = \frac{137}{36} = 3.80\overline{5} \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{2}{1}\), \(\frac{7}{18}\), and \(\frac{17}{12}\) is \(36\). \[ \begin{aligned} 2\frac{7}{18} + \frac{17}{12} &= \frac{2 \cdot 36}{1 \cdot 36} + \frac{7 \cdot 2}{18 \cdot 2} + \frac{17 \cdot 3}{12 \cdot 3} \\ &= \frac{72 + 14 + 51}{36} \\ &= \frac{137}{36} \end{aligned} \]