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Algebra 1

Carter, Cuevas, Day, Holiday, Luchin

$Math Studyset 91影视 Explanations$ Math

Student Edition 路 801 pages

ISBN: 9780078884801

Chapter 1: Q39. (page 19)

Find the following quotient.
$\frac{11}{12} 梅 1 \frac{2}{3}$

Short Answer

Expert verified

The quotient is $\frac{11}{20}$ .

Step by step solution

01

Step 1. Formula Used.

The division of two fractions is given by multiplying the first fraction by the reciprocal of the second fraction.

$\frac{a}{b} 梅 \frac{c}{d} = \frac{a}{b} 脳 \frac{d}{c}$

02

Step 2. Definition of reciprocal.

The product of any number and its reciprocal is 1.

03

Step 3. Find the reciprocal of the given number.

First, simplify mixed fraction into improper fraction then find its reciprocal:

$1 \frac{2}{3} = \frac{1 脳 3 + 2}{3} = \frac{5}{3}$

Reciprocal of

$\frac{5}{3} 路 \frac{3}{5} = 1$

Hence, the reciprocal of $\frac{2}{3}$ is $\frac{3}{2}$ .

04

Step 4. Find the quotient of the given numbers.

$\begin{matrix} \frac{11}{12} 梅 1 \frac{2}{3} = \frac{11}{12} 梅 \frac{5}{3} \\ = \frac{11}{12} 脳 \frac{3}{5} \\ = \frac{11}{20} \end{matrix}$

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Most popular questions from this chapter

Write an algebraic expression for each verbal expression.

the quotient of 45 and $r$

Name the set or sets of numbers to which each real number belongs.

$\frac{18}{3}$

Name the set or sets of numbers to which each real number belongs.

$- \frac{72}{8}$

Evaluate the expression $2 a + (b^{2} 梅 3)$ if $a = 4, 鈥夆赌� b = 12$ .

Name the set or sets of numbers to which each real number belongs.

$- \frac{54}{19}$

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