Chapter 12, Problem 57CUR

To determine

To find: The product of $-2\frac{1}{3}\cdot \left(3\frac{3}{5}\right)$

Answer to Problem 57CUR

The product of the expression is $\left(-\frac{42}{5}\right)$ or $\left(-8\frac{2}{5}\right)$

Explanation of Solution

Given information : The expression is $-2\frac{1}{3}\cdot \left(3\frac{3}{5}\right)$

Concept used : The product of two or more fraction is equal to the product of the numerators over the product of denominators.

Calculation :

  $\begin{array}{l}-2\frac{1}{3}\cdot \left(3\frac{3}{5}\right)\\ =-\frac{7}{3}\times \frac{18}{5}\\ =\frac{\left(-7\times 18\right)}{3\times 5}\\ =-\frac{126}{15}\\ =-\frac{42}{5}\\ =-8\frac{2}{5}\end{array}$

Thus, the product of the expression is $\left(-\frac{42}{5}\right)$ or $\left(-8\frac{2}{5}\right)$ .