Chapter 1: Q41. (page 19)

Find the following quotient.
$- \frac{1}{3} \div (- 1 \frac{1}{5})$

Short Answer

Expert verified

The product is $\frac{5}{18}$ .

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 the mixed fraction into important per fraction and then find its reciprocal

$- 1 \frac{1}{5} = - \frac{1 \times 5 + 1}{5} = - \frac{6}{5}$

Reciprocal of $- \frac{6}{5}$

- \frac{6}{5} \times - \frac{5}{6} = 1

Hence, reciprocal of $- \frac{6}{5}$ is $- \frac{5}{6}$ .

Step 4. Find the quotient of the given numbers.

By using the formula of the division of two fractions.

$- \frac{1}{3} \div (- 1 \frac{1}{5}) = - \frac{1}{3} \div (- \frac{6}{5}) = - \frac{1}{3} \times (- \frac{5}{6}) [productofsamesignispositive] = (\frac{1}{3} \times \frac{5}{6}) = \frac{1 \times 5}{3 \times 6} = \frac{5}{18}$

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Find the following quotient.
$- \frac{1}{3} \div (- 1 \frac{1}{5})$

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.-13÷-115

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

Calculus

Logic and Functions

Pure Maths

Discrete Mathematics

Decision Maths

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Find the following quotient.
$- \frac{1}{3} \div (- 1 \frac{1}{5})$