Math Problem Solver

$$\frac{-18}{6} - \frac{35}{-7} + -11 = -9$$

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of $\frac{-18}{6}$, $\frac{-35}{-7}$, and $\frac{-11}{1}$ is $42$. $$\begin{aligned} \frac{-18}{6} - \frac{35}{-7} + -11 &= \frac{-18 \cdot 7}{6 \cdot 7} + \frac{-35 \cdot -6}{-7 \cdot -6} + \frac{-11 \cdot 42}{1 \cdot 42} \\ &= \frac{-126 + 210 + -462}{42} \\ &= \frac{-378}{42} \\&= -9 \end{aligned}$$