# What is the reciprocal of 6?

Jun 22, 2016

Reciprocal of $6$ is $\frac{1}{6}$.

#### Explanation:

A number $x$ is a reciprocal of another number $a$, if the product of $x$ and $a$ is $1$ i.e.

$x \times a = 1$. Now multiplying both sides by $\frac{1}{a}$, we get

$x \times a \times \frac{1}{a} = 1 \times \frac{1}{a}$ or

$x \times \cancel{a} \times \frac{1}{\cancel{a}} = 1 \times \frac{1}{a}$ or

$x = \frac{1}{a}$

Hence, it is obvious then that reciprocal of $6$ is $\frac{1}{6}$.

May 25, 2017

The reciporal of $6$ is $\frac{1}{6}$.
So, the reciprocal of any number is 1 divided by the number is the reciprocal of that number. It is pretty much the opposite of the number. 6 can also be written as $\frac{6}{1}$, so you just flip the numbers around. So, it will be $\frac{1}{6}$! But when you need he reciprocal of a fraction, you just flip the number around. For example, lets say that you needed to find the reciprocal of $\frac{4}{3}$, the reciprocal of it will be $\frac{3}{4}$! So now you know how to find a reciprocal of a (whole) number and a fraction! I hope this will help you! 🙂