Final answer:
By dividing 2.5 cups of cocoa powder (the total amount available) by 0.75 cups (the amount needed for one recipe), you can make 3 full recipes with some cocoa powder left over.
Step-by-step explanation:
To determine how many recipes can be made with 5/2 cups of cocoa powder when each recipe requires 3/4 of a cup, you must divide the total amount of cocoa powder you have by the amount required for one recipe.
Step 1: Convert 5/2 cups to a decimal for easier division, which is 2.5 cups.
Step 2: Divide the total amount of cocoa powder by the amount needed per recipe: 2.5 ÷ 0.75.
Step 3: Calculate the division: 2.5 ÷ 0.75 = 3.333.
You can make 3 full recipes and you will have some cocoa powder left over.