Q29. - Algebra 1

Question

Name the reciprocal of each number.

$5\frac{1}{3}$

Step-by-Step Solution

Answer

The reciprocal is $\frac{3}{16}$.

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.

$\frac{3}{16}$First, simplify the fraction and then find the reciprocal

$\begin{array}{l}=5\frac{1}{3}\\ =\frac{16}{3}\end{array}$

 The reciprocal of the fraction is

$=\frac{3}{16}$

Therefore, the reciprocal of the number is $\frac{3}{16}$.