freeCodeCamp/guide/english/mathematics/reciprocal/index.md

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---
title: Reciprocal
---
## Reciprocal
The **reciprocal** of a number is 1 divided by that number.
#### Example
The reciprocal of 3 is <sup>1</sup><sub>3</sub>
A **reciprocal** can also be defined as a number taken to the power of -1.
#### Example
<sup>1</sup><sub>3</sub> is same as 8 to the power of -1.
You can also take a reciprocal of a fraction by flipping the fraction.
For instance, reciprocal of <sup>2</sup><sub>3</sub> is <sup>3</sup><sub>2</sub>.
### Note
1. Reciprocal of a reciprocal is the original number.
#### Example
Reciprocal of 23 is <sup>1</sup><sub>23</sub>. Now if we take the reciprocal of <sup>1</sup><sub>23</sub> and filp the fraction, we get <sup>23</sup><sub>1</sub> which is the original number.
2. If you multiply a number by its reciprocal, you always get 1.
#### Example
Reciprocal of 16 is <sup>1</sup><sub>16</sub>. If you multiply <sup>1</sup><sub>16</sub> with 16, you get 1.
3. Zero does not have a reciprocal
#### More Information:
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