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Fraction Sums Greater Than One
To make lemon-lime punch, Romesh mixes 
of a gallon of lemonade, 
of a gallon of ginger ale, and 
of a gallon of lemon-lime soda.
of a gallon of lemonade, of a gallon of ginger ale, and of a gallon of lemon-lime soda.
To find out how much punch he has, he writes the sum and shows it with fraction circle pieces.
Romesh solves the problem this way:
- Use circle pieces to solve the problem a different way from Romesh's way. Write your answer both as a fraction and as a mixed number.
- What color pieces did you use to solve the problem?
- How is your method different from Romesh's?
- Julia notices that the denominators in , , and are all factors of 12. “That is why Romesh could replace all the pieces with black pieces.” Then she notices that the denominators are also factors of 6.
Solve + + using equivalent fractions with 6 as the fractions' denominators. Include a number sentence.