Katie: Mom, can I have a whole doughnut with my milk?
Me: I think there is only one left in the bag. How about a piece for daddy and me?
Katie: I can give you a quarter (aka, one fourth and not the coin :-)).
Me: A quarter for both or a quarter each?
Katie: A quarter each.
Me: And then how much will be left for you?
Katie is having some trouble figuring this out so I decide to help out.
Me: How many pieces do you need to split something into to make a quarter?
Me: So if you give one quarter to me and one to your dad, then how many quarters will be left for you?
Me: And two quarters is the same as…
I show her four fingers and split them into two and two.
Katie: One half!
At this point we actually look into the doughnut bag and it turns out that there are one and a half donuts in there.
Katie: That means I can have a whole doughnut.
Me: No, I think that means that you still get a half and daddy and I will split the whole one.
Katie: I guess that’s fair since everyone will then get a half, but before I was going to get more than you…
We ended up giving her about three-quarters of a doughnut and she was very happy.