Chapter 0.5, Problem 16E

To determine

The simplified value of the expression $\frac{2}{9}\cdot \frac{1}{2}$ .

Answer to Problem 16E

The simplified value of the expression $\frac{2}{9}\cdot \frac{1}{2}$ is $\frac{1}{9}$ .

Explanation of Solution

Given information:

The expression $\frac{2}{9}\cdot \frac{1}{2}$ .

Formula used:

Product of two real numbers is obtained when they are multiplied together. That is two or more numbers are separated by multiplication signs $\left(\right),\times \text{ or }\cdot$ .

Calculation:

Consider the expression $\frac{2}{9}\cdot \frac{1}{2}$ .

It can be simplified as,

  $\frac{2}{9}\cdot \frac{1}{2}=\frac{1\cdot 2}{9\cdot 2}$

Striking off the common terms, we get,

  $\begin{array}{c}\frac{2}{9}\cdot \frac{1}{2}=\frac{1\cdot 2}{9\cdot 2}\\ =\frac{1}{9}\end{array}$

Recall that product of two real numbers is obtained when they are multiplied together. That is two or more numbers are separated by multiplication signs $\left(\right),\times \text{ or }\cdot$ .

Simplify it,

  $\frac{2}{9}\cdot \frac{1}{2}=\frac{1}{9}$

Thus, the simplified value of the expression $\frac{2}{9}\cdot \frac{1}{2}$ is $\frac{1}{9}$ .