At a monthly meeting, 1/3 of the attendees were males and 4/5 of the male attendees arrived on time. If 5/6 of the female attendees arrived on time, what fraction of the attendees at the monthly meeting did not arrive on time?
Answers:
A) 1/6 B) 2/15 C) 3/20 D) 7/30 E) 8/45
Males who did not arrive on time are 1/5*1/3 = 1/15 of the attendees.   Females who did not arrive on time are 1/6*2/3 = 1/9 of the attendees.   The fraction of all attendees who did not arrive on time is 1/15 + 1/9 = 8/45   The answer is 8/45.
<result>E</result>
At a monthly meeting, 1/3 of the attendees were males and 4/5 of the male attendees arrived on time. If 5/6 of the female attendees arrived on time, what fraction of the attendees at the monthly meeting did not arrive on time?