Question

Katelyn made ( 11)/(2) batches of chocolate chip brownies. Each full batch of brownies needs ( 2)/(3) cups of sugar. How many cups of sugar did Katelyn need?

Answer 1

Katelyn needed 3⅔ cups of sugar for making ⅓ batches of chocolate chip brownies. This was calculated by multiplying ⅓ batches by ⅓ cup of sugar per batch and simplifying the resulting fraction.

Step-by-step explanation:

Katelyn made ⅓ batches of chocolate chip brownies. Each full batch of brownies requires ⅓ cups of sugar. To find out how much sugar Katelyn needed, we'll need to multiply the two fractions. Here's the step-by-step calculation:

1. Multiply the number of batches Katelyn is making by the amount of sugar needed for one batch: 11/2 × 2/3.
2. Simplify the multiplication of fractions by multiplying the numerators and then the denominators: (11 × 2) / (2 × 3).
3. Cancel out the common factor of 2 in both the numerator and the denominator to simplify the fraction: 11/3.
4. The result is the total cups of sugar Katelyn needs, which is 11/3 or 3⅔ cups of sugar.