Q25. - Algebra 1

Question

Name the reciprocal of each number.

$1\frac{2}{5}$

Step-by-Step Solution

Answer

The reciprocal is $\frac{5}{7}$.

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.

First, convert the given expression into a fraction then find the reciprocal

$\begin{array}{l}=1\frac{2}{5}\\ =\frac{7}{5}\end{array}$

Reciprocal of the given fraction is

$\begin{array}{l}=\frac{1}{\left(\frac{7}{5}\right)}\\ =\frac{5}{7}\end{array}$

Therefore, the reciprocal of the number is $\frac{5}{7}$.