Andy has 6
2
3
cups of juice. How many
2
3
-cup servings can he pour?
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(6 2/3) / (2/3) = (20/3) / (2/3) = 20/2 = 10
To determine the number of 2/3-cup servings Andy can pour with the 6 cups of juice, you need to divide the total cups of juice by the serving size.
1. Divide the total cups of juice by the serving size:
6 cups ÷ 2/3 cups = 6 ÷ 2/3
2. To divide by a fraction, you can multiply by the reciprocal of the fraction:
6 ÷ 2/3 = 6 × 3/2
3. Multiply the whole number by the numerator and divide by the denominator:
(6 × 3) ÷ 2 = 18 ÷ 2
4. Divide the numerator by the denominator:
18 ÷ 2 = 9
Therefore, Andy can pour 9 servings of 2/3-cup juice.
To find out how many servings of 2/3-cup Andy can pour with 6 2/3 cups of juice, you need to perform a division operation.
1. First, convert the mixed number (6 2/3) to an improper fraction:
- Multiply the whole number (6) by the denominator of the fraction (3): 6 * 3 = 18
- Add the numerator (2) to the result: 18 + 2 = 20
- Write the sum over the original denominator: 20/3
2. Divide the numerator (20) by the denominator (3):
- Perform the division: 20 ÷ 3 = 6 with a remainder of 2
The quotient is 6 with a remainder of 2. This means that Andy can pour 6 whole servings of 2/3 cups and still have 2/3 cup remaining.
Therefore, Andy can pour 6 2/3-cup servings of juice.