Chapter 12.6, Problem 43S

To determine

To find:The value of the expression.

Answer to Problem 43S

The required solution is $0.93$

Explanation of Solution

Given:

  $\frac{2}{5}.2\frac{1}{3}$

Calculation:

Consider the expression

  $\frac{2}{5}.2\frac{1}{3}$

There are two numbers, one is fraction and the other is mixed number.

First cover the mixed number into fraction.

  $\begin{array}{l}2\frac{1}{3}=\frac{2.3+1}{3}\\ \text{ =}\frac{\text{6+1}}{\text{3}}\\ \text{ =}\frac{\text{7}}{\text{3}}\end{array}$

Now, simplify the expression.

  $\begin{array}{l}\frac{2}{5}.2\frac{1}{3}=\frac{2}{5}.\frac{7}{3}\\ \text{ =}\frac{\text{2}\text{.7}}{\text{5}\text{.3}}\\ \text{ =}\frac{\text{14}}{\text{15}}\\ \approx \text{0}\text{.93}\end{array}$

Conclusion:Therefore, The required solution is $0.93$