Chapter 6.8, Problem 20E

To determine

To find:the quotient of $-\frac{4}{9}÷\frac{2}{3}$ .

Answer to Problem 20E

The quotient of $-\frac{4}{9}÷\frac{2}{3}$ is $-\frac{2}{3}$ .

Explanation of Solution

Given information : theexpression is $-\frac{4}{9}÷\frac{2}{3}$ .

Calculation : to find thequotient first multiply with reciprocal then use the rule of multiplying fraction and then multiply.

  $\begin{array}{l}-\frac{4}{9}÷\frac{2}{3}=-\frac{4}{9}·\frac{3}{2}\text{ [multiply by reciprocal]}\\ -\frac{4}{9}÷\frac{2}{3}=-\frac{12}{18}\text{ [multiply]}\\ -\frac{4}{9}÷\frac{2}{3}=-\frac{2}{3}\text{ [simplify]}\end{array}$

Hence, The quotient of $-\frac{4}{9}÷\frac{2}{3}$ is $-\frac{2}{3}$ .