Final answer:
The fraction of students in the class that said their favorite pizza topping is pepperoni is 1/6.
Step-by-step explanation:
To find the fraction of students in the class that said their favorite pizza topping is pepperoni, we need to multiply the fractions of students that said their favorite food is pizza and the fraction of those students that said their favorite pizza topping is pepperoni.
Given that 2/5 of the students said their favorite food is pizza, and 5/12 of those students said their favorite pizza topping is pepperoni, the fraction of students that said their favorite pizza topping is pepperoni can be calculated as:
2/5 * 5/12 = 10/60 = 1/6
So, the correct answer is 1/6.