# How do you find the reciprocal of 9/7?

Mar 10, 2017

$\frac{7}{9}$

#### Explanation:

The reciprocal of a number n is.

• 1/n

$\Rightarrow \text{reciprocal of "9/7" is } \frac{1}{\frac{9}{7}} = 1 \times \frac{7}{9} = \frac{7}{9}$

The product of a number and it's reciprocal equals 1

$\Rightarrow \frac{9}{7} \times \frac{7}{9} = 1$

(This is why the reciprocal is also called the multiplicative inverse.
$1$ is the identity element for multiplication.)

Mar 10, 2017

$\frac{7}{9}$

#### Explanation:

To find the reciprocal of a fraction is really simple. for $\frac{9}{7}$,

just make it the opposite way as $\frac{7}{9}$.

This works for every other fraction.