# What is the reciprocal of #7/9#?

##### 2 Answers

#### Explanation:

The reciprocal of a proper fraction can be easily obtained by switching its numerator and denominator.

For example, the reciprocal of the fraction

Why does this work? The reciprocal of a number

#1/((7/9)) = (1xx9)/(7/9 xx 9)#

#= 9/7#

The reciprocal of

#### Explanation:

The reciprocal for a whole number, for example,

Example:

But if you want to find the reciprocal of a *fraction*, then you just switch the numerator and the denominator around. So the reciprocal of

Example:

My source is my mind and this site. The sources for the images are listed below each image.

I hope that this helps!!!!