Q22. - Algebra 1

Question

Name the reciprocal of each number. 

$\frac{4}{11}$

Step-by-Step Solution

Answer

The reciprocal is $\frac{11}{4}$

Step 1. Concept of reciprocal.

When 1 is divided by a real number then it’s called reciprocal of that real number. Reciprocal is also called multiplicative inverse.

Step 2. Example.

Assume x is a real number then its reciprocal will be $\frac{1}{x}$.

Step 3. Evaluate the reciprocal.

To find the reciprocal of the given number, just divide 1 by the given number, or in case of a fraction, just flip the fraction.

So, the reciprocal of the number is

$$\begin{gathered} \text{Reciprocal of }\frac{4}{11}=\frac{1}{\left(\frac{4}{11}\right)} \\ =\frac{11}{4} \end{gathered}$$

Therefore, the reciprocal of the number is $\frac{11}{4}$.