Math Problem Solver

\[ \frac{1}{-10} + \frac{1}{-12} = - \frac{11}{60} = -0.18\overline{3} \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{1}{-10}\) and \(\frac{1}{-12}\) is \(60\). \[ \begin{aligned} \frac{1}{-10} + \frac{1}{-12} &= \frac{1 \cdot -6}{-10 \cdot -6} + \frac{1 \cdot -5}{-12 \cdot -5} \\ &= \frac{-6 + -5}{60} \\ &= \frac{-11}{60} \end{aligned} \]