Chapter 6.5, Problem 54S

To determine

To find: the given product.

Answer to Problem 54S

The value of the productis $\frac{1}{40}$ .

Explanation of Solution

Given information:

Given product

  $\frac{1}{5}\cdot \frac{1}{8}$

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:

  $\frac{1}{5}\cdot \frac{1}{8}$

Now, find the product considering $a=1,b=5,c=1,d=8$

  $\begin{array}{c}\frac{1}{5}\cdot \frac{1}{8}=\frac{1\cdot 1}{5\cdot 8}\\ =\frac{1}{40}\end{array}$

Therefore, the simplest formof the productis $\frac{1}{40}$ .