Question

A punch recipe calls for 4 1/3 cups of pineapple juice per serving. Julie is making 1 2/5 servings. Which equation shows the amount of pineapple juice she will need?

a. 4 1/3 · 1 2/5 = 12/3 · 7/5
b. 41/3 · 1 2/5 = 13/3 · 7/5
c. 4 1/3 · 1 2/5 = (4· 2/5 )+( 1/3 · 2/5 )
d. 4 1/3 · 1 2/5 = (4· 1/3 )+(4· 2/5 )

Answer 1

To determine the total amount of pineapple juice needed, the mixed numbers are first converted to improper fractions, resulting in the equation 4 1/3 × 1 2/5 = 13/3 × 7/5. The correct answer from the options provided is option b.

Step-by-step explanation:

The question asked is to determine which equation shows the amount of pineapple juice Julie will need if a punch recipe calls for 4 1/3 cups of pineapple juice per serving and she is making 1 2/5 servings. To find the total amount of pineapple juice, we must multiply the amount per serving by the number of servings.

Firstly, let's convert the mixed numbers to improper fractions:
4 1/3 can be converted to 13/3 (because 4 × 3 + 1 = 13), and 1 2/5 can be converted to 7/5 (because 1 × 5 + 2 = 7). Now we multiply these two improper fractions:

13/3 × 7/5

This equation corresponds to option b: 4 1/3 × 1 2/5 = 13/3 × 7/5. Thus, Julie will need to multiply these fractions to find the total amount of pineapple juice needed for 1 2/5 servings.