Chapter 0.5, Problem 11E

To determine

The simplified value of the expression $\frac{2}{5}\cdot \frac{3}{7}$ .

Answer to Problem 11E

The simplified value of the expression $\frac{2}{5}\cdot \frac{3}{7}$ is $\frac{6}{35}$ .

Explanation of Solution

Given information:

The expression $\frac{2}{5}\cdot \frac{3}{7}$ .

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 $\frac{2}{5}\cdot \frac{3}{7}$ .

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,

  $\begin{array}{c}\frac{2}{5}\cdot \frac{3}{7}=\frac{2\cdot 3}{5\cdot 7}\\ =\frac{6}{35}\end{array}$

Thus, the simplified value of the expression $\frac{2}{5}\cdot \frac{3}{7}$ is $\frac{6}{35}$ .