Chapter 6.8, Problem 22E

To determine

To find the quotient.

Answer to Problem 22E

The quotient is $1\frac{2}{9}$ .

Explanation of Solution

Given information:

The expression is $\frac{11}{24}÷\frac{3}{8}$ .

Calculation:

The expression is simplified as:

  $\begin{array}{l}\frac{11}{24}÷\frac{3}{8}\\ \frac{11}{24}÷\frac{3}{8}=\frac{11}{24}\times \frac{8}{3}\left[\text{Multiply by reciprocal}\right]\\ =\frac{11\times \stackrel{1}{\cancel{8}}}{\underset{3}{\cancel{24}}\times 3}\left[\begin{array}{l}\text{ Use rule for multiplying fractions}\text{.}\\ \text{ Divide out common factors}\text{.}\end{array}\right]\\ =\frac{11}{9}=1\frac{2}{9}\left[\begin{array}{l}\text{Multiply}\text{. Then write fraction}\\ \text{as a mixed fraction}\text{.}\end{array}\right]\end{array}$

Hence,

The quotientis $1\frac{2}{9}$ .