# Reciprocal of Number

The reciprocal of a number is one divided by that number

Table of Contents

## Reciprocal of a Fraction

To get the reciprocal of a fraction, simply switch the top and bottom of the fraction (numerator and denominator).

## Reciprocal of a Reciprocal

The reciprocal of a reciprocal takes you back to where we started:

## Examples

 Number Reciprocal In Decimal Reciprocal of Reciprocal 2 1/2 0.5 2 4 1/4 0.25 4 10 1/10 0.1 10 1/2 2/1 2.0 1/2 1/4 4/1 4.0 1/4 1/10 10/1 10.0 1/10 2/3 3/2 1.5 2/3 3/4 4/3 1.33 3/4 5/6 6/5 1.2 5/6

## Not for Zero

Every number except 0 has a reciprocal, because 1/0 is undefined

## Reciprocal is what to multiply a value by to get 1

Try to multiply a number by its reciprocal:
5 × (1/5) = 5 x 0.2 = 1
Another example:
10 × (1/10) = 10 x 0.1 = 1
We always get 1
So:

Multiply a Number by Its Reciprocal Gets Us 1

The reciprocal is also called the “Multiplicative Inverse

## Learn More

Table of Factors and Multiples

Common Factor

Complex Numbers

Simplifying Square Roots

Numbers Index