Q26. - Algebra 1

Question

Name the reciprocal of each number.

$-2\frac{3}{7}$

Step-by-Step Solution

Answer

The reciprocal is $-\frac{7}{17}$.

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 fraction form then find the reciprocal.

$\begin{array}{l}=-2\frac{3}{7}\\ =-\frac{17}{7}\end{array}$

Reciprocal of the given fraction is.

$\begin{array}{l}=\frac{1}{\left(-\frac{17}{7}\right)}\\ =-\frac{7}{17}\end{array}$

Therefore, the reciprocal of the number is $-\frac{7}{17}$.