Chapter 5.5, Problem 27E

To determine

To find:the solution of the quotient.

Answer to Problem 27E

The solution for the expression is $-\frac{8}{189}$

Explanation of Solution

Given information:

Provided expression, $-\frac{16}{21}÷18$

Calculation:

Multiply the fractions to find the quotient,

  $\begin{array}{l}-\frac{16}{21}÷18\\ =-\frac{16}{21}\cdot \frac{1}{18}\left[\text{Multiply by reciprocal}\right]\\ =-\frac{16}{21}\cdot \frac{1}{18}\left[\begin{array}{l}\text{Use rule of multiplying fractions}\\ \text{Divide out common factor}\end{array}\right]\\ =-\frac{8}{189}\left[\text{Multiply}\right]\end{array}$

Therefore, the quotientof expression is $-\frac{8}{189}$