Of the female students at Barkely University, 5/6 are on the honor roll. Of the male students, 2/3 are on the honor roll. If 3/5 of the students are female, what fraction of all the students are on the honor roll?	Choose the correct option:
A) 5 / 9 B) 3 / 15 C) 23 / 30 D) 43 / 60 E) 53 / 90

Rationale: "for total students take lcm of factions = 6 * 5 = 30 let female students = x , so male students = 30 - x now , female stu . on honor roll = 5 / 6 ( x ) and male stu . on honor roll = 2 / 3 ( 30 - x ) as given total female stu . = 3 / 5 ( 30 ) = 18 female stu . = ( 5 / 6 ) * 18 = 15 and male stu . = ( 2 / 3 ) * 12 = 8 fraction of honor student = ( 15 + 8 ) / 30 = 23 / 30 . correct answer is c ."
Answer: C