Every student of a certain school must take one and only one elective course. In last year, 1/2 of the students took P.E. as an elective, 1/3 of the students took Theatre as an elective, and all of the other students took Music. In this year, 1/3 of the students who took P.E. and 1/4 of the students who took Theatre left school, other students did not leave, and no fresh student come in. What fraction of all students took P.E. or Music?	Choose the correct option.
A) 2/3 B) 1/4 C) 7/9 D) 1/5 E) 8/11
Lets pick smart numbers. Total number of students: 12   P.E. (1/2): 6   Theatre (1/3): 4   Music (1/6): 2   After leaving school   P.E.: 4   Theatre: 3   Music: 2   New Total number of students: 9   P.E. and Music: 6   2/3nswer 2/3 or 2/3
<result>A</result>
Every student of a certain school must take one and only one elective course. In last year, 1/2 of the students took P.E. as an elective, 1/3 of the students took Theatre as an elective, and all of the other students took Music. In this year, 1/3 of the students who took P.E. and 1/4 of the students who took Theatre left school, other students did not leave, and no fresh student come in. What fraction of all students took P.E. or Music?