How many 4/3 cup servings are in 28/3 cups of cereal?
To calculate the number of 4/3 cup servings in 28/3 cups of cereal, we need to divide the total amount of cereal by the size of each serving.
28/3 cups ÷ 4/3 cups = (28/3) ÷ (4/3)
When dividing fractions, we invert the second fraction and multiply:
(28/3) ÷ (4/3) = (28/3) × (3/4)
The denominators (3 and 3) cancel each other out:
= (28/1) × (1/4)
Finally, multiply the numerators:
= 28/4 = 7
Therefore, there are 7 servings of 4/3 cups in 28/3 cups of cereal.
To determine the number of 4/3 cup servings in 28/3 cups of cereal, you need to divide the total amount of cereal by the quantity of cereal in each serving.
Step 1: Convert the mixed number 28/3 to an improper fraction:
28/3 = (3 * 9 + 1) / 3 = 27/3 + 1/3 = 9 + 1/3
Step 2: Divide the total amount of cereal by the quantity in each serving:
(9 + 1/3) / (4/3)
Step 3: Invert the second fraction and multiply:
(9 + 1/3) * (3/4)
Step 4: Simplify by multiplying the numerators and denominators:
(27/3 + 1/3) * (3/4) = (27 + 1) / (3 * 4) = 28/12
Step 5: Reduce the fraction to the simplest form:
28/12 = 14/6 = 7/3
Therefore, there are 7/3 or 2 1/3 servings (4/3 cup) in 28/3 cups of cereal.
To find out how many 4/3 cup servings are in 28/3 cups of cereal, we can divide the total amount of cereal by the amount in each serving.
First, let's convert the fractions to a common denominator. Both 4/3 and 28/3 have the same denominator of 3. Therefore, we can rewrite the question as "How many 4/3 cup servings are in 28/3 cups of cereal?"
Now, let's perform the division:
28/3 ÷ 4/3
To divide fractions, we multiply the first fraction by the reciprocal of the second:
28/3 × 3/4
Next, we multiply the numerators (top numbers) together and the denominators (bottom numbers) together:
(28 × 3) / (3 × 4)
This simplifies to:
84/12
Now, we can simplify further by dividing both the numerator and the denominator by their greatest common divisor, which is 12:
84 ÷ 12 / 12 ÷ 12
This becomes:
7/1
Therefore, there are 7 servings of 4/3 cups in 28/3 cups of cereal.