If you want to divide 4/5 by 7/8, then you would think that "all you do is multipy 4/5 by 8/7". But how in the world did we get 8/7 out of 7/8?

4/5 divided by 7/8 means 4/5

**/**7/8. We have to get a one at the bottom, to simplify this strange and complex fraction. So we multiply 7/8 by its reciprocal - 8/7 - to get a one.

Does anyone understand why

We must invert and multiply?

It's a simplification of a simple process. Anyone who's worked with fractions knows that when you multiply the bottom of a fraction by any number, you have to do the top, too! So we multiply 4/5 by 8/7 too - tada! The answer is 32/35.

This was such an exciting discovery I just had to share it with someone. So if you're out there in the cyberworld and you've always wondered why we "never reason why - just invert and multiply"...

are you excited too?