Final answer:
To calculate the total cups of punch, convert the mixed numbers to improper fractions, add them, and convert back to a mixed number. The recipe will make 9 5/12 cups of punch.
Step-by-step explanation:
The question asks how many cups of punch a recipe will make when it uses 2 2/3 cups of fruit concentrate and 6 3/4 cups of water.
To find the total number of cups of punch, you add the cups of fruit concentrate to the cups of water:
- Convert the mixed numbers to improper fractions to make the addition easier. For the fruit concentrate, 2 2/3 cups becomes 8/3 cups, and for the water, 6 3/4 cups becomes 27/4 cups.
- Add the two fractions: (8/3) + (27/4) cups.
- Find a common denominator, which is 12, and add: (32/12) + (81/12) = 113/12 cups.
- Convert the improper fraction back to a mixed number. 113/12 is equivalent to 9 5/12 cups.
Therefore, the recipe will make 9 5/12 cups of punch.