Chapter 1: Q30. (page 19)

Name the reciprocal of the following number.
$3 \frac{3}{4}$

Short Answer

Expert verified

The reciprocal of $3 \frac{3}{4}$ is $\frac{4}{15}$ .

Step by step solution

Step 1. Formula Used.

The rule for converting a mixed number into an improper fraction.

$a \frac{b}{c} = \frac{(a \times c) + b}{c}$

Step 2. Definition of reciprocal.

The product of any number and its reciprocal is 1.

Step 3. Example.

Let a be any number then its reciprocal is given by

$a \cdot \frac{1}{a} = 1$

Hence, reciprocal of a is $\frac{1}{a}$ .

Step 4. Find the reciprocal of the given number.

First, simplify mixed number to an improper fraction and then divide 1 by the improper fraction and simplify further as follows:

$3 \frac{3}{4} = \frac{(3 \times 4) + 3}{4} = \frac{15}{4}$

So, the reciprocal is given by

$\frac{1}{(\frac{15}{4})} = \frac{4}{15}$

The reciprocal of $3 \frac{3}{4}$ is $\frac{4}{15}$ .

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Name the reciprocal of the following number.
$3 \frac{3}{4}$

Short Answer

Step by step solution

Step 1. Formula Used.

Step 2. Definition of reciprocal.

Step 3. Example.

Step 4. Find the reciprocal of the given number.

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Name the reciprocal of the following number.334

Short Answer

Step by step solution

Step 1. Formula Used.

Step 2. Definition of reciprocal.

Step 3. Example.

Step 4. Find the reciprocal of the given number.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Calculus

Statistics

Decision Maths

Geometry

Applied Mathematics

Study anywhere. Anytime. Across all devices.

Name the reciprocal of the following number.
$3 \frac{3}{4}$