Question

It takes 1 2 over 3 cups of water to make a box of rice. Suppose you want to make 3 1 fourth boxes of rice for a potluck. Evaluate the expression to determine how much water you will need: 1 2 over 3 cross times 3 1 fourth

Answer 1

To make 3 1/4 boxes of rice, multiply the water needed for one box (1 2/3 cups) by the number of boxes. The result is 5 5/12 cups of water, which can be measured using a measuring cup.

Step-by-step explanation:

To determine how much water is needed to make 3 1/4 boxes of rice, we multiply the water needed for one box by the number of boxes. The student uses 1 2/3 cups of water per box. Thus, we need to evaluate the expression 1 2/3 × 3 1/4.

Step-by-Step Solution:

1. Convert the mixed numbers to improper fractions: 1 2/3 = 5/3 and 3 1/4 = 13/4.
2. Multiply the fractions: (5/3) × (13/4).
3. Perform the multiplication: 5 × 13 = 65 and 3 × 4 = 12.
4. Write the result as an improper fraction: 65/12.
5. Convert the improper fraction back to a mixed number if necessary: 5 5/12 cups of water.
6. Finally, use a measuring cup to measure out the water.

Therefore, to make 3 1/4 boxes of rice, the student will need 5 5/12 cups of water.