Question

10. A recipe for punch calls for 2 2/3 cups of fruit concentrate

and 6 3/4 cups of water.
How many cups of punch will the recipe make?

Answer 1

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:

1. 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.
2. Add the two fractions: (8/3) + (27/4) cups.
3. Find a common denominator, which is 12, and add: (32/12) + (81/12) = 113/12 cups.
4. 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.

Answer 2

Step-by-step explanation:

Let's change 2 2/3 cups to 4/3 cups and change 6 3/4 cups to 18/4 cups. Okay now we need to find a number 4 and 3 both go into bucause they're the numbers on the bottom or the denominator 4 and 3 both go into 12 so now we put our numerator (the numbers on top) over 12.

The sum is now: 54/12 + 16/12 let's change that to 4 and 4/12 + 1 and 4/12= 5 and 8/12 simplify that to 5 and 2/3