Question

Ms. Perry mixed 4 2/3 gallons of cranberry juice and 2 3/4 gallons of raspberry juice to make a fruit punch. How many total gallons of juice did she use to make the fruit punch?

a. 6 5/12 gallons
b. 7 1/2 gallons
c. 7 5/12 gallons
d. 8 1/4 gallons

Answer 1

Ms. Perry used a total of 7 5/12 gallons of juice to make the fruit punch, combining 4 2/3 gallons of cranberry juice and 2 3/4 gallons of raspberry juice. Therefore correct option is C

Step-by-step explanation:

The question asks us to find the total amount of juice used to make a fruit punch by adding together 4 2/3 gallons of cranberry juice and 2 3/4 gallons of raspberry juice.

We start by converting these mixed numbers into improper fractions to make addition easier:

• 4 2/3 gallons becomes (4×3) + 2 = 14/3 gallons
• 2 3/4 gallons becomes (2×4) + 3 = 11/4 gallons

Next, we add these two improper fractions. To do so, we need a common denominator. The least common multiple of 3 and 4 is 12, so we convert both fractions to have a denominator of 12:

• 14/3 becomes (14×4)/(3×4) = 56/12
• 11/4 becomes (11×3)/(4×3) = 33/12

Now, we can add the two fractions:

56/12 + 33/12 = (56+33)/12

= 89/12 gallons

Finally, we convert this improper fraction back to a mixed number:

89/12 = 7 gallons 5/12 gallons

Therefore, Ms. Perry used 7 5/12 gallons of juice to make the fruit punch, which corresponds to answer choice c. 7 5/12 gallons.