Chapter 11.2, Problem 21P

Simplify each complex fraction. $\frac{\frac{1}{a}+\frac{b}{a}}{\frac{1}{b}}$

To determine

To simplify : the complex fraction

Answer to Problem 21P

The value of complex fraction is $\frac{b^2+b}{a}$

Explanation of Solution

Given information : The complex fraction is $\frac{\frac{1}{a}+\frac{b}{a}}{\frac{1}{b}}$

Calculation :

To solve the complex fraction

  $\begin{array}{l}\frac{\frac{1}{a}+\frac{b}{a}}{\frac{1}{b}}\\ \Rightarrow \frac{\frac{1+b}{a}}{\frac{1}{b}}\\ \Rightarrow \frac{1+b}{a}\times \frac{b}{1}\\ \Rightarrow \frac{b^2+b}{a}\end{array}$