jamie had x dollars in the bank. he took out 1/2 of it. then he took out 1/3 of the remaining sum to get something else. what fraction of the original amount remained in his account?

a)1/6

b)1/5

c)1/4

d)1/3

ummm so i did 1-(1/2-1/3) which i got 1/6...a)

my answer sheet says d)

(this is from a isee test prep book by the princeton review.....)