Question

You decide to have some friends over to watch a video. You are eager to try a new pizza recipe that you saw on the Food Network. You plan to make three large pizzas of equal size for you and three of your friends. How many pizzas will each person receive if each of the 3 large pizzas is divided among you and three of your friends? What does the denominator represent in this context? What does the numerator represent?

a) Each person will receive 1/12 of a pizza. The denominator represents the number of friends, and the numerator represents the number of pizzas.

b) Each person will receive 3/1 of a pizza. The denominator represents the number of friends, and the numerator represents the number of pizzas.

c) Each person will receive 1/3 of a pizza. The denominator represents the number of pizzas, and the numerator represents the number of friends.

d) Each person will receive 3/12 of a pizza. The denominator represents the number of pizzas, and the numerator represents the number of friends.

Answer 1

Each person will receive 3/12 of the pizza when three large pizzas are divided among four people. This fraction simplifies to 1/4, or one-quarter of the total pizza. The denominator is the total number of pieces available, and the numerator is the number of pieces each person gets.

Step-by-step explanation:

If you are making three large pizzas and want to divide them equally among you and your three friends, that means there will be a total of four people (you plus the three friends) that the pizzas must be distributed amongst. With three pizzas to be shared equally, we first need to determine how many pieces each pizza will be divided into such that everyone gets an equal share. If we simply divide each large pizza into four equal parts, each person can have one piece from each pizza, making it three pieces per person in total.

To express how much pizza each person gets as a fraction, we consider the entire amount of pizza as the whole. Since you've made three pizzas dividing each into four slices, there will be 12 pieces in total (numerator represents the number of slices per person and the denominator represents the total number of slices). Therefore, each person receives 3/12 of the total pizzas, which simplifies to 1/4 or one-quarter of the pizza since the numerator (3 pieces per person) represents how many pieces they get and the denominator (12 total pieces) represents the total amount that is being shared. Option (d) is the correct answer.