Chapter 6.2, Problem 4OE

To determine

To calculate: The simplified form of the expression $\frac{a}{b}\cdot \frac{b}{a}$.

Answer to Problem 4OE

The simplified form of the expression $\frac{a}{b}\cdot \frac{b}{a}$ is $1$.

Explanation of Solution

Given information:

The expression $\frac{a}{b}\cdot \frac{b}{a}$.

Formula used:

Fractions are multiplied as $\frac{a}{b}\cdot \frac{c}{d}=\frac{ab}{cd}$.

Calculation:

Consider the expression $\frac{a}{b}\cdot \frac{b}{a}$.

Recall that fractions are multiplied as $\frac{a}{b}\cdot \frac{c}{d}=\frac{ab}{cd}$.

Apply it,

  $\begin{array}{c}\frac{a}{b}\cdot \frac{b}{a}=\frac{a\times b}{b\times a}\\ =\frac{ab}{ba}\\ =1\end{array}$

Thus, the simplified form of the expression $\frac{a}{b}\cdot \frac{b}{a}$ is $1$.