Chapter 1: Q32. (page 19)

Find the following quotient.
$\frac{16}{9} \div \frac{4}{9}$

Short Answer

Expert verified

The quotient is 4.

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.

Reciprocal of $\frac{4}{9}$

$\frac{4}{9} \cdot \frac{9}{4} = 1$

Hence, reciprocal of $\frac{4}{9}$ is $\frac{9}{4}$ .

Step 4. Find the quotient of the given numbers.

Now by the definition of the quotient of two fractions:

$\begin{matrix} \frac{16}{9} \div \frac{4}{9} = \frac{16}{9} \times \frac{9}{4} \\ = \frac{16}{4} \\ = 4 \end{matrix}$

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Find the following quotient.
$\frac{16}{9} \div \frac{4}{9}$

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.169÷49

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

Logic and Functions

Statistics

Mechanics Maths

Discrete Mathematics

Probability and Statistics

Decision Maths

Study anywhere. Anytime. Across all devices.

Find the following quotient.
$\frac{16}{9} \div \frac{4}{9}$