Let's solve this problem step-by-step:
1. Understand the original recipe:
Milo's pancake recipe makes 9 servings and requires [tex]\(\frac{3}{4}\)[/tex] cup of milk.
2. Determine the amount of milk per serving:
We need to find out how much milk is required for one serving. This can be done by dividing the total amount of milk by the number of servings.
[tex]\[
\text{Milk per serving} = \frac{\frac{3}{4} \text{ cup}}{9}
\][/tex]
When you perform this division, you get approximately [tex]\(0.0833\)[/tex] cups of milk per serving.
3. Calculate the milk needed for 6 servings:
Now that we know how much milk is needed for one serving, we can find out how much milk is needed for 6 servings by multiplying the milk per serving by 6.
[tex]\[
\text{Milk needed} = 0.0833 \text{ cup/serving} \times 6 \text{ servings}
\][/tex]
Performing this multiplication, you get approximately [tex]\(0.5\)[/tex] cups of milk.
Therefore, to make 6 servings of pancakes, Milo will need [tex]\(0.5\)[/tex] cups of milk.