Question

In a graduating class with the same number of boys and girls, 1/8 of the girls and 5/6 of the boys are honor students. What part of the class consists of boys who are not honor students

Answer 1

1/2 of 1/6 is 1/12

Answer 2

let no of class=x,boys & girls are equal,boys=1/2x, 5/6*1/2x are honoured ,then 1-5/6=1/6 are not= x(1 - 5/12)=1/12x

Answer 3

(1/8)+(5/6)=23/24
total students=24
12 boys 12 girls
5/6 honor students
1-5/6= non honor students
1/6 =non honor students
(1/6)*12=2 non honor students
2/24=1/12

Answer 4

Your answer is a little off to the statement and wrong, showing ambiguity.
The following solution might clear out the sense:
Total number of students = (1/8)+(5/6)= 46/48
Total Girls= 24
Total Boys= 24
Honor boys= (5/6)*24= 20
Non honor boys= 24-20= 4
so part of the class the non honor boys are = 4*(1/48)= 1/12