Q25. - Algebra 1

Question

Name the reciprocal of the following number.

$\frac{6}{7}$

Step-by-Step Solution

Answer

The reciprocal of $\frac{6}{7}$ is $\frac{7}{6}$.

Step 1. Definition of reciprocal.

The product of any number and its reciprocal is 1.

Step 2. Example.

Let a be any number then its reciprocal is given by

$a·\frac{1}{a}=1$

Hence, reciprocal of a is $\frac{1}{a}$.

Step 3. Find the reciprocal of the given number.

In order to find the reciprocal of the given number, divide 1 by the given number and simplify further as follows:

$\frac{1}{\left(\frac{6}{7}\right)}=\frac{7}{6}$ 

The reciprocal of $\frac{6}{7}$ is $\frac{7}{6}$.