Chapter 6.2, Problem 3OE

To determine

To calculate: The simplified form of the expression $-\frac{3}{4}\cdot \frac{8}{9}$.

Answer to Problem 3OE

The simplified form of the expression $-\frac{3}{4}\cdot \frac{8}{9}$ is $-\frac{2}{3}$.

Explanation of Solution

Given information:

The expression $-\frac{3}{4}\cdot \frac{8}{9}$.

Formula used:

Fractions are multiplied as $\frac{a}{b}\cdot \frac{c}{d}=\frac{ab}{cd}$.

Calculation:

Consider the expression $-\frac{3}{4}\cdot \frac{8}{9}$.

Recall that fractions are multiplied as $\frac{a}{b}\cdot \frac{c}{d}=\frac{ab}{cd}$.

Apply it,

  $\begin{array}{c}-\frac{3}{4}\cdot \frac{8}{9}=-\frac{3\times 8}{4\times 9}\\ =-\frac{2}{3}\end{array}$

Thus, the simplified form of the expression $-\frac{3}{4}\cdot \frac{8}{9}$ is $-\frac{2}{3}$.