Question

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?

Answer 1

13 1/6 cups is the answer

Answer 2

We need to add the numbers 4 1/3, 2 1/3, and 6 1/2. First, let's convert them into improper fractions for easier adding:


`(13)/(3) + (7)/(3) + (13)/(2)`

Now, since two of the fractions have the same denominator, we can simplify it, giving us this:


`(20)/(3) + (13)/(2)`

Next, we have to find the least common denominator of the two fractions. The smallest number that both 2 and 3 go into is 6, so we can change our denominator to 6:


`(20)/(3)((2)/(2)) + (13)/(2)( (3)/(3))`


`(40)/(6)+ (39)/(6)`


`(79)/(6)`

For our answer, we should convert this back into a mixed number:


`(79)/(6) = 13(1)/(6)`

Peter makes 13 1/6 cups of punch.