To determine how many cups of milk Cynthia needs to make 6 batches of waffle mix, we need to follow these steps:
1. Determine the amount of milk required for one batch:
The recipe requires [tex]\(\frac{5}{12}\)[/tex] cups of milk for each batch of waffle mix.
2. Calculate the amount of milk needed for 6 batches:
If Cynthia is making 6 batches, we will multiply the amount of milk required for one batch by the number of batches she is making:
[tex]\[
\text{Total milk needed} = 6 \times \frac{5}{12}
\][/tex]
3. Perform the multiplication:
[tex]\[
6 \times \frac{5}{12} = \frac{6 \cdot 5}{12} = \frac{30}{12}
\][/tex]
4. Simplify the fraction:
[tex]\[
\frac{30}{12} = \frac{30 \div 6}{12 \div 6} = \frac{5}{2} = 2.5
\][/tex]
So, Cynthia needs 2.5 cups of milk to make 6 batches of waffle mix. Therefore, the correct answer is:
[tex]\[
\boxed{2 \frac{1}{2}}
\][/tex]
