Answer: Vegan student gets 9/5 cheese slices
The rest of the 4 students get each: 5/5 slices of pepperoni + 1/2 slice of Pepperoni + 3/10 slice of cheese.
Explanation:
6 slices of Pepperoni + 3 slices of cheese = 9 slices total. We need to divide the slices among 5 students, 1 is vegan.
9 divided by 5 = 1 and 4/5 slices or 9/5 slices.
The 9 slices make 45/5 slices.
3 slices of cheese = 15/5 slices.
6 slices of pepperoni = 30/5 slices.
Vegan student gets 9/5 cheese slices. Leaving 6/5 slices or 12/10 slices of cheese, 12/10 divided by 4=3/10
The rest of the 4 students get each: 5/5 slices of pepperoni + 1/2 slice of Pepperoni + 3/10 slice of cheese.
5/5=10/10, 1/2=5/10, 3/10
10/10 + 5/10 + 3/10 = 18/10=9/5 slices each person.