Question

Jenna's lemon cookie recipe calls for 3 cups of sugar. How much sugar would Jenna use to make 3 3/8 batches of cookies?

Write your answer as a fraction or as a whole or mixed number.

Answer 1

To find out how much sugar Jenna would use for 3 3/8 batches of cookies, we first need to convert 3 3/8 into an improper fraction.

1. Convert the whole number and fractional part:
- 3 can be represented as \( \frac{3 \times 8}{8} = \frac{24}{8} \)
- So, \( 3 3/8 = \frac{24}{8} + \frac{3}{8} = \frac{27}{8} \)

2. Now, Jenna's recipe calls for 3 cups of sugar per batch, so we multiply the amount of sugar by the number of batches:
\[
\text{Total sugar} = 3 \times \frac{27}{8}
\]

3. Perform the multiplication:
\[
\text{Total sugar} = \frac{3 \times 27}{8} = \frac{81}{8}
\]

4. Finally, we can convert \( \frac{81}{8} \) to a mixed number:
- Divide 81 by 8, which equals 10 with a remainder of 1. Thus, \( \frac{81}{8} = 10 \frac{1}{8} \).

Therefore, Jenna would use **10 1/8 cups of sugar** for 3 3/8 batches of cookies.