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 :

13 1/6 cups is the answer
mayadc821
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:

[tex] \frac{13}{3} + \frac{7}{3} + \frac{13}{2} [/tex]

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

[tex] \frac{20}{3} + \frac{13}{2} [/tex]

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:

[tex]\frac{20}{3}(\frac{2}{2}) + \frac{13}{2}( \frac{3}{3})[/tex]

[tex]\frac{40}{6}+ \frac{39}{6} [/tex]

[tex]\frac{79}{6}[/tex]

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

[tex]\frac{79}{6} = 13\frac{1}{6} [/tex]

Peter makes 13 1/6 cups of punch.

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