a recipe for fudge brownies calls for 3 5/8 cups of cocoa per bath. if you are making 2 1/2 batches, how many cups are needed?

3.625 * 2.5 = ______ cups

To find out how many cups of cocoa are needed for 2 1/2 batches of fudge brownies, we can start by calculating the amount required for one batch and then multiplying it by 2.5.

Given that the recipe calls for 3 5/8 cups of cocoa per batch, let's convert the mixed number to an improper fraction:

3 5/8 = (3 * 8 + 5)/8 = (24 + 5)/8 = 29/8

Now, we can calculate the amount of cocoa needed for one batch:

1 batch = 29/8 cups of cocoa

To determine the amount needed for 2.5 batches, we multiply the amount for one batch by 2.5:

2.5 batches * (29/8 cups per batch) = (2.5 * 29/8) cups

To simplify this mixed number, we can perform the calculation:

2.5 * 29 = 72.5
8 * 2.5 = 20

Therefore, 2.5 batches of fudge brownies require approximately 72.5/20 cups of cocoa, which simplifies to 3 5/20 cups.

To calculate the total amount of cocoa needed for 2 1/2 batches of fudge brownies, we first need to find the total amount of cocoa needed for one batch and then multiply it by 2.5.

The recipe calls for 3 5/8 cups of cocoa per batch.

Step 1: Convert the mixed number to an improper fraction:
3 5/8 = (8 * 3 + 5) / 8 = 29/8

Step 2: Find the total amount of cocoa needed for one batch:
The recipe calls for 29/8 cups of cocoa per batch.

Step 3: Multiply the amount of cocoa needed for one batch by 2.5:
29/8 * 2.5 = 72.5/8

Step 4: Simplify the fraction if possible:
72.5/8 = 9.0625 cups of cocoa.

Therefore, if you're making 2 1/2 batches of fudge brownies, you would need approximately 9.0625 cups of cocoa.