The public library has exactly 2 floors. It has 1/3 as many shelves on its 2nd floor as it does on its 1st. If the second floor has 5/6 as many books per shelf as the first floor, what fraction of the library's books are on the first floor?	Choose the correct option:
A) 1/4  B) 5/14  C) 5/9  D) 9/14  E) 18/23
Let x be the no of shelves and y be the no of books per shelf on first floor.   Now no of shelves on 2nd floor = (1/3)*x   no of books per shelf on 2nd floor = (5/6) * y   So total no books on first floor = xy and total no of books on 2nd floor = (1/3)*x*(5/6)*y = (5/18)*xy   fraction of library books on first floor = (xy)/(xy + (5/18)*xy)   =1 / (1+(5/18))   =18/23   So 18/23
<result>E</result>
The public library has exactly 2 floors. It has 1/3 as many shelves on its 2nd floor as it does on its 1st. If the second floor has 5/6 as many books per shelf as the first floor, what fraction of the library's books are on the first floor?