To determine how much sugar Camilla would use for $2 \frac{3}{8}$ batches of cookies, we need to calculate the total amount of sugar required by multiplying the amount of sugar needed for one batch by the number of batches.

Step-by-Step Solution:

1. Convert fractions to improper fractions:

   • $\frac{3}{4}$ cup of sugar per batch.
   • $2 \frac{3}{8}$ batches can be converted to an improper fraction: $2 \frac{3}{8} = \frac{16}{8} + \frac{3}{8} = \frac{19}{8}$

2. Multiply the amount of sugar per batch by the number of batches:

   • Multiply $\frac{3}{4}$ cup of sugar by $\frac{19}{8}$ batches: $\text{Total sugar} = \frac{3}{4} \times \frac{19}{8}$

3. Perform the multiplication:

   • Multiply the numerators and the denominators: $\frac{3 \times 19}{4 \times 8} = \frac{57}{32}$

4. Simplify the fraction:

   • Divide $57$ by $32$: $\frac{57}{32} = 1 \frac{25}{32}$

Thus, Camilla would use $1 \frac{25}{32}$ cups of sugar to make $2 \frac{3}{8}$ batches of cookies.

Would you like more details or have any questions?

Here are 5 related questions that might interest you:

1. How do you convert an improper fraction to a mixed number?
2. What is the process for multiplying two fractions?
3. How do you add fractions with different denominators?
4. If Camilla wanted to make half a batch of cookies, how much sugar would she need?
5. How would the amount of sugar change if she made 3 batches?

Tip: When multiplying fractions, always multiply the numerators together and the denominators together, then simplify if possible.