Chapter 0.5, Problem 18E

To determine

The simplified value of the expression $\frac{1}{3}\cdot \frac{6}{5}$ .

Answer to Problem 18E

The simplified value of the expression $\frac{1}{3}\cdot \frac{6}{5}$ is $\frac{2}{5}$ .

Explanation of Solution

Given information:

The expression $\frac{1}{3}\cdot \frac{6}{5}$ .

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 $\frac{1}{3}\cdot \frac{6}{5}$ .

6 can be written as the product of 2 and 3.

So, it can be simplified as,

  $\frac{1}{3}\cdot \frac{6}{5}=\frac{1\cdot 3\cdot 2}{3\cdot 5}$

Striking off the common terms, we get,

  $\frac{1}{3}\cdot \frac{6}{5}=\frac{1\cdot 2}{5}$

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,

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

Thus, the simplified value of the expression $\frac{1}{3}\cdot \frac{6}{5}$ is $\frac{2}{5}$ .