Question

In the following exercises, solve.

$\frac{72}{156}=\frac{-6}{q}$

Short answer

The simplification of $\frac{72}{156}=\frac{-6}{q}$is $q=-13$

Step-by-step solution

Step 1. Given Information

An expression:
$\frac{72}{156}=\frac{-6}{q}$

Step 2. Isolate the variable.

To isolate the variable, multiply both sides by the LCD $156q$

$\frac{72}{156}\times 156q=\frac{-6}{q}\times 156q$

Step 3. Simplify the expression

By simplification,

$$\begin{gathered} 72q=-936 \\ q=\frac{-936}{72} \\ =-13 \end{gathered}$$

Step 4. Check the answer

To check our answer, we substitute into the original proportion.

$$\begin{gathered} \frac{72}{156}=\frac{-6}{q} \\ \frac{72}{156}=\frac{-6}{-13} \\ \frac{6}{13}=\frac{6}{13} \end{gathered}$$