Math Problem Solver

\[ \frac{-11}{18} + \frac{-3}{9} + \frac{2}{-3} = - \frac{29}{18} = -1.6\overline{1} \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{-11}{18}\), \(\frac{-3}{9}\), and \(\frac{2}{-3}\) is \(18\). \[ \begin{aligned} \frac{-11}{18} + \frac{-3}{9} + \frac{2}{-3} &= \frac{-11 \cdot 1}{18 \cdot 1} + \frac{-3 \cdot 2}{9 \cdot 2} + \frac{2 \cdot -6}{-3 \cdot -6} \\ &= \frac{-11 + -6 + -12}{18} \\ &= \frac{-29}{18} \end{aligned} \]