Chapter 3.3, Problem 6CYU

To determine

To find: The product $-2\frac{1}{2}\times 5\frac{2}{3}$ in simplest form.

Answer to Problem 6CYU

The product is $\frac{-85}{6}$ .

Explanation of Solution

Given:

The product is $-2\frac{1}{2}\times 5\frac{2}{3}$ .

Calculation:

The product is calculated as follows:

  $\begin{array}{l}\Rightarrow -2\frac{1}{2}\times 5\frac{2}{3}\\ \Rightarrow -\left(\frac{2\times 2+1}{2}\right)\times \left(\frac{5\times 3+2}{3}\right)\\ \Rightarrow -\left(\frac{5}{2}\right)\times \left(\frac{17}{3}\right)\\ \Rightarrow \frac{\left(-5\right)\times \left(17\right)}{2\times 3}\\ \Rightarrow \frac{-85}{6}\end{array}$

Thus, the product is $\frac{-85}{6}$ .