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To find the total number of cups of punch, we need to add all the cups together.
4 1/3 cups + 2 1/3 cups + 6 1/2 cups = 4 + 2 + 6 + 1/3 + 1/3 + 1/2
= 12 + 2/6 + 2/6 + 3/6
= 12 + 7/6
The fraction cannot be simplified. To convert the fraction to a mixed number, we divide:
7 รท 6 = 1 remainder 1
So the total number of cups of punch that Peter makes is 12 1/6.
Therefore, the correct answer is D) 13 1/6.