This is a puzzle
If you’ve ever actually tried to divide a pizza into 15 equal pieces – and I mean the kind of dividing that uses a knife or a cutter or piano wire – you’ll find that knowing fractions like isn’t necessarily a whole lot of help. My favorite way, by far, of cutting pizza in 15 equal pieces is to cut the pizza into 16 equal pieces and abscond with one of the pieces before doing the actual distribution.
But! – you may object – That wasn’t fair! Division is supposed to be fair.
Sure, it is important to be fair. But fairness isn’t always a function of cutting into equal pieces with a sharp enough knife. Solomon demonstrated this a long time ago. And if I divide up the remaining odd balloon between two kids by cutting it carefully in half, I’ll get the enthusiastic thanks of neither kid.
The puzzle: can you think of some ways to “divide” the balloon in a way that is fair? Whatever method you come up with, we’ll insist that the same method work to “divide” the slice of pizza I absconded with too. How do you know that your method is fair?