Math Problem Solver

\[ \frac{-9}{10} + \frac{22}{55} = - \frac{1}{2} = -0.5 \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{-9}{10}\) and \(\frac{22}{55}\) is \(110\). \[ \begin{aligned} \frac{-9}{10} + \frac{22}{55} &= \frac{-9 \cdot 11}{10 \cdot 11} + \frac{22 \cdot 2}{55 \cdot 2} \\ &= \frac{-99 + 44}{110} \\ &= \frac{-55}{110} \\&= - \frac{1}{2} \end{aligned} \]