Luke has 1/5 of a package of dried apricots. He divides the dried apricots equally into 5 small bags. Luke gives one of the bags to a friend and keeps the other four bags for himself.

What fraction of the original package of dried apricots did Luke keep for himself?

4/25

First we have to divide 1/5 by 5. To do this we must follow the rules of dividing fractions which is switching the numerator and denominator of the second number/fraction, so 5 becomes 1/5. Next, we have to multiply the two fractions: 1/5 x 1/5 = 1/25 (This is the amount of apricots in 1 bag). If we multiply that by 5, its going to 5/25 which is now 5 bags. 5/25 - 1/25=4/25 and that is our final answer.