One recipe calls for $\frac{3}{4}$ cup of milk. A different recipe calls for $\frac{1}{2}$ as much milk as the first recipe. How much milk does the second recipe call for?
A. $\frac{1}{4}$ cup
B. $\frac{4}{6}$ cup
C. $\frac{2}{3}$ cup
D. $\frac{3}{8}$ cup
Answer (2)
The second recipe calls for 8 3 cup of milk, which is half of the 4 3 cup required by the first recipe. This is calculated by multiplying 4 3 by 2 1 .
;
Multiply the amount of milk in the first recipe by 2 1 .
Calculate 2 1 × 4 3 .
Multiply the numerators: 1 × 3 = 3 .
Multiply the denominators: 2 × 4 = 8 .
The second recipe calls for 8 3 cup of milk.
Explanation
Understanding the problem We are given that one recipe requires 4 3 cup of milk, and a second recipe requires 2 1 as much milk as the first recipe. We need to find out how much milk the second recipe requires.
Setting up the calculation To find the amount of milk the second recipe requires, we need to multiply the amount of milk the first recipe requires by 2 1 . This means we need to calculate 2 1 × 4 3 .
Calculating the amount of milk To multiply two fractions, we multiply the numerators together and the denominators together: 2 1 × 4 3 = 2 × 4 1 × 3 = 8 3 So, the second recipe requires 8 3 cup of milk.
Stating the answer The second recipe requires 8 3 cup of milk.
Examples
Fractions are used in everyday life, especially in cooking and baking. For example, if you want to make half of a cake recipe that calls for 3 2 cup of sugar, you need to calculate 2 1 × 3 2 to find out how much sugar you need. This problem demonstrates how to calculate the amount of an ingredient needed when you only want to make a fraction of the original recipe.
