# Question #c7863

##### 2 Answers

To find the multiplicative inverse, convert the number to a fraction and flip it over.

#### Explanation:

Make fraction

Flip

Simplify

#### Explanation:

First, note that

Next, remember that the multiplicative inverse of any nonzero number is the number whose product with the original number is

So, if we want the multiplicative inverse of

#=1/(1/10) xx 10/10#

(multiplying the numerator and denominator by the same number doesn't change our value)

#=10/((1/10)xx10)#

#=10/1#

#=10#

So the multiplicative inverse of

As a side note, it's a useful trick to remember that