Chapter 6.1, Problem 50E

To determine

To calculate : the product of the given expression.

Answer to Problem 50E

Theproduct of the given expression is,

  $-2\frac{3}{4}\cdot \left(-3\frac{5}{9}\right)=9\frac{7}{9}$

Explanation of Solution

Given information : the expression is given as,

  $-2\frac{3}{4}\cdot \left(-3\frac{5}{9}\right)$

Calculation :

  $\begin{array}{l}-2\frac{3}{4}\cdot \left(-3\frac{5}{9}\right)=-\frac{11}{4}-\frac{32}{9}\left[\text{write as improper fracion}\right]\\ -2\frac{3}{4}\cdot \left(-3\frac{5}{9}\right)=\frac{-11\cdot \left(-32\right)}{4\cdot 9}\left[\text{use rule for multiplying fractions}\right]\\ -2\frac{3}{4}\cdot \left(-3\frac{5}{9}\right)=\frac{88}{9}\left[\text{divide out common factor and multipy}\right]\\ -2\frac{3}{4}\cdot \left(-3\frac{5}{9}\right)=9\frac{7}{9}\left[\text{write as mixed fraction}\right]\end{array}$

Therefore,

The product of the given expression is,

  $-2\frac{3}{4}\cdot \left(-3\frac{5}{9}\right)=9\frac{7}{9}$