# What Is the Opposite of 1 Divided by X?

By Marija KeroThe opposite of one divided by X is going to be X divided by one. Find out about the opposite of 1 divided by X with help from an experienced mathematics professional in this free video clip.

### Transcript

Hi, my name is Marija, and today I'm gonna tell you what the opposite of one divided by X is. And, the opposite of one divided by X is going to be X divided by one. And, X divided by one is called the reciprocal of one divided by X. And, the reciprocal is just another word for the multiplicative inverse, or opposite, and when you multiply opposite numbers, you always end up back with one. So, if we take one over X, and we multiply it by it's opposite, or it's reciprocal, X over one, we're going to get one times X is X, X times one is also X, and X divided by X is one. So, any time you take a number and you multiply it by it's opposite and it's reciprocal, you're always gonna get back to one. So, the opposite of one divided by X is X divided by one.