# Reciprocal Fractions

Updated February 21, 2017 | Factmonster Staff

To find the reciprocal of a fraction, flip it over, so that the numerator becomes the denominator and the denominator becomes the numerator. That is:

The reciprocal of^{4}/5 is^{5}/4

Note that **the product of a fraction and its reciprocal is always 1.**

^{4}/5 x^{5}/4 =^{20}/20 = 1

In the case of a whole number, think of it as having a denominator of 1:

The reciprocal of 5 is^{1}/5.^{5}/1 x^{1}/5 =^{5}/5 = 1

Every number has a reciprocal except for 0. There is nothing you can multiply by 0 to create a product of 1, so it has no reciprocal.

Reciprocals are used when dividing fractions.

**See also:**