Why is one third greater than one fourth?

Answer 1

When something is cut into equal pieces, (think of a pie), the pieces are larger the fewer pieces there are.

If the pie is cut in half, that is an entire HALF of the pie one has to eat.

But if the pie is cut into three equal pieces, there are more pieces, but they are smaller.

So, one fourth of the pie would be even smaller because you are getting ONE piece of a pie that is cut into FOUR pieces.

The bottom number of the fraction is how many equal sized pieces there are, and the top number is how many you are getting.