To determine how many cups of raisins Taylor needs for each batch of granola bars, we can start with the information given: the recipe calls for \( \frac{3}{4} \) of a cup of raisins for 2 batches of granola bars.
Step 1: Find the amount of raisins needed for one batch.
To find out how much is needed for one batch, we can divide the total amount of raisins by the number of batches:
\[ \text{Amount of raisins for one batch} = \frac{3/4}{2} \]
Step 2: Solve the expression.
Dividing by 2 is the same as multiplying by \( \frac{1}{2} \):
\[ \frac{3}{4} \div 2 = \frac{3}{4} \times \frac{1}{2} = \frac{3 \times 1}{4 \times 2} = \frac{3}{8} \]
Conclusion
The correct expression to solve this problem is \( \frac{3/4}{2} \).
Using equivalent fractions, the correct expression would also be \( \frac{3}{4} \times \frac{1}{2} \).
Taylor will need \( \frac{3}{8} \) cups of raisins for each batch of granola bars.