Chapter 8.3, Problem 50SR

To determine

To simplifying the expression.

Answer to Problem 50SR

The simplified expression is $\frac{m+q}{m^2+q^2}$ .

Explanation of Solution

Given information:

The given expression is:

  $\frac{\frac{m+q}{5}}{\frac{m^2+q^2}{5}}$

Calculation:

The expression can be simplified by:

  $\begin{array}{l}\frac{\frac{m+q}{5}}{\frac{m^2+q^2}{5}}\\ =\frac{m+q}{5}÷\frac{m^2+q^2}{5}\\ =\frac{m+q}{5}\times \frac{5}{m^2+q^2}\\ =\frac{m+q}{1}\times \frac{1}{m^2+q^2}\\ =\frac{m+q}{m^2+q^2}\end{array}$

Hence, the simplified expression is $\frac{m+q}{m^2+q^2}$ .