I thought of this math problem, which I hope most people can solve with a little effort. The trouble is that I need a better story for the problem. Here is what I have so far.

Five friends are eating at a pizzeria, They each ordered a small pizza and are just about to start their meal when a sixth friend arrives. Not wanting to wait until a new order is ready, they decide to divide the five pizzas among the six of them. The question is, what is a simple way of dividing the pizzas?

One obvious approach is to cut each pizza into six slices and give everyone five of them. That is a lot of small slices. There is another way to cut the pizzas so that everyone gets two slices that are the same sizes as everyone else and both slices are larger than 1/6. How can this be done?