Chapter 3.3, Problem 10CYU

To determine

To find: The expression $\frac{3}{4}xz$ in simplest form.

Answer to Problem 10CYU

The product $\frac{3}{4}xz$ is $\frac{-3}{10}$ .

Explanation of Solution

Given:

The value of x is $\frac{14}{15}$ .

The value of y is $-1\frac{2}{5}$ .

The value of z is $-\frac{3}{7}$ .

Calculation:

The product $\frac{3}{4}xz$ is calculated as follows:

  $\begin{array}{l}\Rightarrow \frac{3}{4}xz\\ \Rightarrow \left(\frac{3}{4}\right)\times \left(\frac{14}{15}\right)\times \left(-\frac{3}{7}\right)\\ \Rightarrow \frac{3\times 14\times \left(-3\right)}{4\times 15\times 7}\\ \Rightarrow \frac{\left(\cancel{7}\right)\times \cancel{2}\times \left(-\cancel{3}\right)\times 3}{2\times \cancel{2}\times 5\times \cancel{3}\times \cancel{7}}\\ \Rightarrow \frac{-3}{10}\end{array}$

Thus, the product $\frac{3}{4}xz$ is $\frac{-3}{10}$ .