a recipe calls for 3/4 cup of tomato sauce to make one batch of spaghetti sauce. Freddie plans to make 3 1/2 batches of spaghetti sauce. how much sauce will he need?
3/4 * 3 1/2=
3/4 * 7/2=
21/8=
2 5/8 Cups
To find out how much tomato sauce Freddie will need, we can multiply the amount of sauce needed for one batch by the number of batches he plans to make.
The recipe calls for 3/4 cup of tomato sauce for one batch of spaghetti sauce. So, to find the total amount needed for 3 1/2 batches, we will multiply 3/4 cup by 3 1/2.
First, let's convert the mixed number 3 1/2 into an improper fraction. The fraction 1/2 is equivalent to 2/4, so we have 3 1/2 = 3 + 2/4 = 3 + 2/4 = 3 + 1/2 = 7/2.
Now we can multiply the amount of sauce needed for one batch (3/4 cup) by 7/2:
(3/4) * (7/2)
To multiply fractions, we multiply the numerators (top numbers) and the denominators (bottom numbers):
(3 * 7) / (4 * 2)
This simplifies to:
21/8
So, Freddie will need 21/8 cups of tomato sauce to make 3 1/2 batches of spaghetti sauce.
To convert the improper fraction back to a mixed number, we divide the numerator by the denominator:
21 ÷ 8 = 2 remainder 5
Therefore, Freddie will need 2 5/8 cups of tomato sauce to make 3 1/2 batches of spaghetti sauce.