Question

Simplify the expression$\frac{3}{4q}-\frac{2}{5q}-\frac{1}{2q}$.

Short answer

The simplified value of expression is$-\frac{3}{20q}$.

Step-by-step solution

Step 1. Write down the given expression.

The given expression is$\frac{3}{4q}-\frac{2}{5q}-\frac{1}{2q}$.

Step 2. Simplify the expression.

The given expression $\frac{3}{4q}-\frac{2}{5q}-\frac{1}{2q}$is simplified as:

$\begin{array}{c}\frac{3}{4q}-\frac{2}{5q}-\frac{1}{2q}=\frac{3}{4q}-\frac{2}{5q}-\frac{1}{2q}\\ =\frac{15-8-10}{20q}\\ =-\frac{3}{20q}\end{array}$

Step 3. Conclusion.

The simplified value of expression is$-\frac{3}{20q}$.