Problem 1. Fractions

a) Six friends participated in a birthday party. The first one got 1/6 of an apple pie, the second 1/5 of the remaining part. The third one got 1/4 of the part left after the first two, the fourth one got 1/3 of what remained after the first three. The rest was split evenly between the last two friends. Who got the biggest piece?

b) How to divide 5 apples equally between 6 kids so that no apple is cut in more than three pieces?