Chapter 6.2, Problem 3WE

To determine

To calculate: The simplified form of the expression $\frac{15}{4}\cdot \frac{8}{9}$.

Answer to Problem 3WE

The simplified form of the expression $\frac{15}{4}\cdot \frac{8}{9}$ is $\frac{10}{3}$.

Explanation of Solution

Given information:

The expression $\frac{15}{4}\cdot \frac{8}{9}$.

Formula used:

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

Calculation:

Consider the expression $\frac{15}{4}\cdot \frac{8}{9}$.

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

Apply it,

  $\begin{array}{c}\frac{15}{4}\cdot \frac{8}{9}=\frac{15\times 8}{4\times 9}\\ =\frac{5\times 2}{3}\\ =\frac{10}{3}\end{array}$

Thus, the simplified form of the expression $\frac{15}{4}\cdot \frac{8}{9}$ is $\frac{10}{3}$.