What is the reciprocal of #7/9#?

2 Answers
Apr 5, 2016

#9/7#

Explanation:

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

For example, the reciprocal of the fraction #a/b# is simply #b/a#.

Why does this work? The reciprocal of a number #x# is defined to mean #1/x#. For the reciprocal of the fraction #7/9#,

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

#= 9/7#

Jun 15, 2017

The reciprocal of #7/9# is #9/7#.

Explanation:

The reciprocal for a whole number, for example, #6#. The reciprocal would be #1/6#. You just pretty much change the number to a fraction, the number is the denominator and #1# is the numerator.

Example:

https://www.mathsisfun.com/reciprocal.html

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 #7/9# is #9/7#!

Example:

http://vocabguide.com/dictionary/reciprocal

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

I hope that this helps!!!!