Question

Simplify:$\frac{7(-1)+9(-3)}{-5\left(3\right)-2}$

Short answer

The solution is$2$

Step-by-step solution

Step 1. Given information

The fraction:$\frac{7(-1)+9(-3)}{-5\left(3\right)-2}$

Step 2. Calculation

The fraction bar acts like a grouping symbol. So we are completely simplify the numerator and the denominator separately.

We have,

$$\begin{gathered} \frac{7(-1)+9(-3)}{-5\left(3\right)-2} \\ \frac{-7-27}{-15-2}multiplying \\ \frac{-34}{-17}simplifying \\ 2 \end{gathered}$$

The solution is$2$