Chapter 11.6, Problem 9MRE

To determine

To write: the fraction in the simplest form.

Answer to Problem 9MRE

  $\frac{3r^2}{8x}÷24rx=\frac{r}{64x^2}$ .

Explanation of Solution

Given:

The given expression is $\frac{3r^2}{8x}÷24rx$ .

Calculation:

As the given expression is $\frac{3r^2}{8x}÷24rx$ .

Therefore, the given expression is expressed as,

  $\begin{array}{l}\frac{3r^2}{8x}÷24rx=\frac{3r^2}{8x}\times \frac{1}{24rx}\left\{a÷m=a\times \frac{1}{m}\right\}\\ =\frac{3}{8\times 24}\times \frac{r^2}{r{x}^2}\\ =\frac{1}{8\times 8}\times \frac{r}{x^2}\\ =\frac{r}{64x^2}\end{array}$

Hence, the simplified form of the given expression is $\frac{3r^2}{8x}÷24rx=\frac{r}{64x^2}$ .