Final answer:
Brenden used 2.7 cups of sugar per batch of cookies.
Step-by-step explanation:
To find the number of cups of sugar Brenden used per batch of cookies, we need to divide the total cups of sugar used by the number of batches.
Brenden used 6(3/4) cups of sugar to make 2(1/2) batches of cookies.
To convert the mixed numbers to improper fractions, multiply the whole number by the denominator and add the numerator.
6(3/4) cups = (6 * 4 + 3) / 4 = 27/4 cups
2(1/2) batches = (2 * 2 + 1) / 2 = 5/2 batches
To divide fractions, multiply the first fraction by the reciprocal of the second fraction.
(27/4 cups) ÷ (5/2 batches) = (27/4 cups) * (2/5 batches) = (27 * 2) / (4 * 5) = 54/20 = 2.7 cups
Therefore, Brenden used 2.7 cups of sugar per batch of cookies.