## Three pizzas of the same size were purchased for a party. After the guests finished eating pizza, 1/3 of the first, 1/4 of the second, 1/6 a

Question

Three pizzas of the same size were purchased for a party. After the guests finished eating pizza, 1/3 of the first, 1/4 of the second, 1/6 and of the third pizzas were leftover.

Part A If the leftover pieces are combined, what fraction of one whole pizza remains? Explain how you got your answer.

Part B What fraction of all three of the pizzas purchased for the party was eaten? Explain how you got your answer.

Part C Only six guests ate pizza at the party. If all of them ate the same amount, what fraction of one pizza did each person eat? Explain how you got your answer.

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## Answers ( No )

1. leftover fraction is 1 – (1/3 + 1/4 + 1/6)  =  1 –  3/4  = 1/4 Answer

B. First pizza:-  1 – 1/3 = 2/3 had been eaten.
Second pizza:-  1 – 1/4 = 3/4 was eaten.
Third pizza:-   1 – 1/6  = 5/6 was eaten.
C.
Total amount of pizza eaten =  3 – 3/4  = 9/4 = 2 1/4
Amount eaten per person = 9/4 /  6 = 3/8 of a pizza