Help me please.

Question

Alan, Brenda, Calvin, David and Ethan share a pack of collector's cards. Alan takes 1/3 of the cards. After Alan has taken his stare Brenda takes 1/5 of the remaining cards. After Brenda has taken her share, Calvin takes 1/6 of the remaining cards. After Calvin has taken his share, David takes 1/4 of the remaining cards. After David has taken his share, Ethan takes all of the remaining cards. Find the fraction of the pack of collector's cards which belongs to Ethan.

Answer 1

pick a number, any number, (no this isn't a card trick like Woody Harrelson in the France bank heist),

it may be easier to calculate, with say 360 total cards

but any number works

A= 360/3 = 120

B = (1/5)240= 48

C = (1/6)(192) = 32

D = 8

E = 208

(360-208/)360 = 152/360 = 19/45

Ethan got 19/45 = about 42% of the cards