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

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[tex]4 \frac{1}{4}+2 \frac{1}{4}+6 \frac{1}{3}=(4+2+6)+(\frac{1}{4}+\frac{1}{4}+\frac{1}{3})= 12 + (\frac{2}{4}+\frac{1}{3})= \\ =12+(\frac{1}{2}+\frac{1}{3})=12+(\frac{1 \times 3}{2 \times 3}+\frac{1 \times 2}{3 \times 2})=12 +(\frac{3}{6}+\frac{2}{6})=12+\frac{5}{6}=12 \frac{5}{6}[/tex]

Peter makes 12 5/6 cups of punch.

A fraction is a way to describe a part of a whole. The total number of cups of punch that Peter makes is 12 5/6 cups.

What is a Fraction?

A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.

What is a Mixed Fraction?

A mixed fraction is a fraction that contains a whole number and a fraction whose denominator is greater than the numerator.

Given that Peter mixes 4 1/4 of orange juice, 2 1/4 cups of ginger ale, and 6 1/3 cups of strawberry lemonade. Therefore, total amount of punch is,

Total cups of punch = 4 1/4 cups + 2 1/4 cups + 6 1/3 cups

= (4+2+6)+(1/4 + 1/4 + 1/3)

= 12 + (3+3+4)/12

= 12 + 10/12

= 12 + 5/6

= 12 5/6

Hence, the total number of cups of punch that Peter makes is 12 5/6 cups.

Learn more about Fraction:

https://brainly.com/question/1301963

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