Chapter 2: Q74. (page 67)

Find the reciprocal of each number.
$- \frac{2}{3}$

Short Answer

Expert verified

The reciprocal of the $- \frac{2}{3}$ is $- \frac{3}{2}$ .

Step by step solution

Step 1- Given information

We have, a number $- \frac{2}{3}$ .

To find the reciprocal of the given number

Step 2- Concept used

The reciprocal or multiplicative inverse of a number $x$ is the number which, when multiplied by $x$ then gives $1$ .

Such that $x \times \frac{1}{x} = 1$

Thus, $x$ is the reciprocal of $\frac{1}{x}$ and $\frac{1}{x}$ is the reciprocal of $x$

Step 3- To find the reciprocal

Let the reciprocal of the given number $- \frac{2}{3}$ is $= x .$

So,

$\begin{array}{l} - \frac{2}{3} \times x = 1 \\ \Rightarrow x = - \frac{3}{2} \end{array}$

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

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Find the reciprocal of each number.
$- \frac{2}{3}$

Short Answer

Step by step solution

Step 1- Given information

Step 2- Concept used

Step 3- To find the reciprocal

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Find the reciprocal of each number.-23

Short Answer

Step by step solution

Step 1- Given information

Step 2- Concept used

Step 3- To find the reciprocal

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Discrete Mathematics

Pure Maths

Logic and Functions

Probability and Statistics

Applied Mathematics

Study anywhere. Anytime. Across all devices.

Find the reciprocal of each number.
$- \frac{2}{3}$