A batch of cookies requires 2 1/4 cup of flour and 1 egg. You have in your kitchen 8 cups of flour and a half dozen eggs.
a) How many batches of cookies can you make?
b) After you have made the cookies, how much flour and how many eggs will you have left? What portion of the original amount of flour and the original number of eggs will you have left?
you have ingredients for
eggs: 6/1 = 6 batches of cookies
flour: 8/(2 1/4) = 32/9 = 3 5/9 batches
so, looks like 3 batches are all you get
afterwards, you will have
8 - 3(2 1/4) = 1 1/4 c flour ; (1 1/4)/8 = 5/32 of the original amount
6 - 3 = 3 eggs ; 3/6 = 1/2 the original amount