A cookie factory uses 3/4 of a barrel of oatmeal in each batch of cookies. The factory used 1 1/2 barrels of oatmeal yesterday. How many batches of cookies did the factory make?Write your answer as a fraction or as a whole or mixed number. batches
Question
A cookie factory uses 3/4 of a barrel of oatmeal in each batch of cookies. The factory used 1 1/2 barrels of oatmeal yesterday. How many batches of cookies did the factory make?Write your answer as a fraction or as a whole or mixed number. batches
Solution
To solve this problem, we need to divide the total amount of oatmeal used by the amount of oatmeal used per batch.
The total amount of oatmeal used is 1 1/2 barrels. We need to convert this mixed number to an improper fraction to make the division easier.
1 1/2 = 1 + 1/2 = 2/2 + 1/2 = 3/2 barrels.
The amount of oatmeal used per batch is 3/4 of a barrel.
So, the number of batches made is (3/2) ÷ (3/4).
To divide fractions, we multiply by the reciprocal of the divisor. The reciprocal of 3/4 is 4/3.
So, (3/2) ÷ (3/4) = (3/2) * (4/3) = 12/6 = 2 batches.
So, the factory made 2 batches of cookies.
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