Math Problem Solver

\[ \frac{38}{-2} + 9 = -10 \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{38}{-2}\) and \(\frac{9}{1}\) is \(2\). \[ \begin{aligned} \frac{38}{-2} + 9 &= \frac{38 \cdot -1}{-2 \cdot -1} + \frac{9 \cdot 2}{1 \cdot 2} \\ &= \frac{-38 + 18}{2} \\ &= \frac{-20}{2} \\&= -10 \end{aligned} \]