# What is the reciprocal of 7/9?

Apr 5, 2016

$\frac{9}{7}$

#### Explanation:

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

For example, the reciprocal of the fraction $\frac{a}{b}$ is simply $\frac{b}{a}$.

Why does this work? The reciprocal of a number $x$ is defined to mean $\frac{1}{x}$. For the reciprocal of the fraction $\frac{7}{9}$,

$\frac{1}{\left(\frac{7}{9}\right)} = \frac{1 \times 9}{\frac{7}{9} \times 9}$

$= \frac{9}{7}$

Jun 15, 2017

The reciprocal of $\frac{7}{9}$ is $\frac{9}{7}$.

#### Explanation:

The reciprocal for a whole number, for example, $6$. The reciprocal would be $\frac{1}{6}$. You just pretty much change the number to a fraction, the number is the denominator and $1$ is the numerator.

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 $\frac{7}{9}$ is $\frac{9}{7}$!

Example:

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

I hope that this helps!!!!