Adam, ben, cathy and dana share some lollies. first adam takes 2/3 of the lollies, then ben takes 1/4 of the remainder, and the cathy takes 1/3of what was left. dana gets all the rest. what fraction of the original number of lollies does dana get?

A = 2/3remainder 1/3
B = 1/4(1/3) = 1/12
2/3 + 1/12 = 8/12 + 1/12 = 9/12 reduces to 3/4 remainder 1/4
C = 1/3(1/4) = 1/12

3/4 + 1/12 = 9/12 + 1/12 = 10/12 reduces to 5/6 remainder 1/6

so Gana gets 1/6

check...
adam gets 2/3 or 8/12
ben gets 1/12
cathy gets 1/12
Gana gets 1/6 or 2/12
added = 12/12 or 1correct

Dana gets 1/6 <==