Q23. - Algebra 1

Question

Name the reciprocal of each number.

$-\frac{3}{7}$

Step-by-Step Solution

Answer

The reciprocal is $-\frac{7}{3}$.

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

$\frac{1}{\left(-\frac{3}{7}\right)}=-\frac{7}{3}$

Therefore, the reciprocal of the number is $-\frac{7}{3}$.