Chapter 6.5, Problem 53S

To determine

To find: the given product.

Answer to Problem 53S

The value of the product is $\frac{8}{27}$ .

Explanation of Solution

Given information:

Given product

  $\frac{4}{9}\cdot \frac{2}{3}$

Formula used:

$\frac{a}{b}\cdot \frac{c}{d}=\frac{a\cdot c}{b\cdot d}$ where $b,d\ne 0$ .

Calculation:

Consider the following form:

  $\frac{4}{9}\cdot \frac{2}{3}$

Now, find the product considering $a=4,b=9,c=2,d=3$

  $\begin{array}{c}\frac{4}{9}\cdot \frac{2}{3}=\frac{4\cdot 2}{9\cdot 3}\\ =\frac{8}{27}\end{array}$

Therefore, the simplest form of the product is $\frac{8}{27}$ .