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

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Reciprocal

Reciprocal

The reciprocal of a number is 1 divided by that number.

Example

The reciprocal of 3 is 13

A reciprocal can also be defined as a number taken to the power of -1.

Example

13 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 23 is 32.

Note

  1. Reciprocal of a reciprocal is the original number.

Example

Reciprocal of 23 is 123. Now if we take the reciprocal of 123 and filp the fraction, we get 231 which is the original number.

  1. If you multiply a number by its reciprocal, you always get 1.

Example

Reciprocal of 16 is 116. If you multiply 116 with 16, you get 1.

  1. Zero does not have a reciprocal

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