Math Problem Solver

\[ \frac{11}{9} - \frac{17}{12} = - \frac{7}{36} = -0.19\overline{4} \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{11}{9}\) and \(\frac{-17}{12}\) is \(36\). \[ \begin{aligned} \frac{11}{9} - \frac{17}{12} &= \frac{11 \cdot 4}{9 \cdot 4} + \frac{-17 \cdot 3}{12 \cdot 3} \\ &= \frac{44 + -51}{36} \\ &= \frac{-7}{36} \end{aligned} \]