Chapter 1: Q39. (page 19)

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

Short Answer

Expert verified

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

Step by step solution

Step 1. Formula Used.

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

$\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}$

Step 2. Definition of reciprocal.

The product of any number and its reciprocal is 1.

Step 3. Find the reciprocal of the given number.

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

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

Reciprocal of

$\frac{5}{3} \cdot \frac{3}{5} = 1$

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

Step 4. Find the quotient of the given numbers.

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

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

Short Answer

Step by step solution

Step 1. Formula Used.

Step 2. Definition of reciprocal.

Step 3. Find the reciprocal of the given number.

Step 4. Find the quotient of the given numbers.

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Find the following quotient.1112÷123

Short Answer

Step by step solution

Step 1. Formula Used.

Step 2. Definition of reciprocal.

Step 3. Find the reciprocal of the given number.

Step 4. Find the quotient of the given numbers.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Statistics

Calculus

Decision Maths

Pure Maths

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

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