Peter mixes 4 1/3 cups of orange juice, 2 1/3 cups of ginger ale, and 6 1/2 cups of strawberry lemonade to make some punch. What is the total number of cups of punch that Peter makes?

The total number of cups of punch that Peter makes is 4 1/3 + 2 1/3 + 6 1/2 = <<(4+2+6)+(1/3+1/3+1/2)=14>>14 cups. Answer: \boxed{14}.