Chapter 6.5, Problem 56S

To determine

To find: the given product.

Answer to Problem 56S

The value of the productis $\frac{1}{3}$ .

Explanation of Solution

Given information:

Given product

  $\frac{2}{5}\cdot \frac{5}{6}$

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:

  $\frac{2}{5}\cdot \frac{5}{6}$

Now, find the product considering $a=2,b=5,c=5,d=6$

  $\begin{array}{c}\frac{2}{5}\cdot \frac{5}{6}=\frac{2\cdot 5}{5\cdot 6}\\ =\frac{10}{30}\\ =\frac{1}{3}\end{array}$

Therefore, the simplest formof the productis $\frac{1}{3}$ .