a serving of cereal is 1 1/3 ounces. A box of cereal contains 20 2/3 ounces. How many servings does each box of cereal provide? Do not round. Give exact answer.
(20 2/3)/(1 1/3) = (62/3)/(4/3) = 62/4 = 31/2
(62/3) / (4/3)
(62/3) * (3/4) = ?
To find out the number of servings a box of cereal provides, divide the total weight of the box by the weight of one serving.
1. Start by converting the mixed numbers into improper fractions:
- The weight of one serving is 1 1/3 ounces, which is equal to (3 x 1 + 1) / 3 = 4/3 ounces.
- The weight of the entire box is 20 2/3 ounces, which is equal to (3 x 20 + 2) / 3 = 62/3 ounces.
2. Now, divide the weight of the box by the weight of one serving:
- 62/3 ounces รท 4/3 ounces = 62/3 x 3/4 = (62 x 3) / (3 x 4) = 186 / 12.
Therefore, each box of cereal provides exactly 186/12 servings.