joseph had a quarter of a cookie. ellen had a half of a different cookie. The peice joseph had was larger. how could ellens peice be smaller? explain.
My theory is the cookie could be smaller because Ellen's cookie might have been smaller as a full than Joseph's.
For example, Joseph's cookie may have 24 pieces, while Ellen's cookie may have been 4 pieces.
The Cookie that joseph was eating was larger. Half of a small cookie is smaller than a quarter of a larger cookie.