Chapter 0.5, Problem 20E

To determine

The simplified value of the expression $\frac{11}{3}\cdot \frac{9}{44}$ .

Answer to Problem 20E

The simplified value of the expression $\frac{11}{3}\cdot \frac{9}{44}$ is $\frac{3}{4}$ .

Explanation of Solution

Given information:

The expression $\frac{11}{3}\cdot \frac{9}{44}$ .

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 $\frac{11}{3}\cdot \frac{9}{44}$ .

9 can be written as the product of 3 and 3.

  $44$ can be written as the product of 11 and 4.

So, it can be simplified as,

  $\frac{11}{3}\cdot \frac{9}{44}=-\frac{11\cdot 3\cdot 3}{3\cdot 11\cdot 4}$

Striking off the common terms, we get,

  $\frac{11}{3}\cdot \frac{9}{44}=\frac{3}{4}$

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,

  $\frac{11}{3}\cdot \frac{9}{44}=\frac{3}{4}$

Thus, the simplified value of the expression $\frac{11}{3}\cdot \frac{9}{44}$ is $\frac{3}{4}$ .