How many 1/2 cups to make 3/4 of a cup?
The Correct Answer and Explanation is :
To determine how many 1/2 cups are needed to make 3/4 of a cup, we can set up a simple division problem. We start by recognizing that 3/4 cup is equivalent to a certain number of 1/2 cups.
Step-by-Step Calculation:
- Convert 3/4 Cup to an Equivalent Fraction:
We need to find out how many 1/2 cups fit into 3/4 cup. We can do this by dividing 3/4 by 1/2. [
\text{Number of } \frac{1}{2} \text{ cups} = \frac{3/4}{1/2}
] - Dividing Fractions:
When dividing fractions, we multiply by the reciprocal of the divisor. So, we rewrite the equation as: [
\frac{3/4}{1/2} = \frac{3}{4} \times \frac{2}{1} = \frac{3 \times 2}{4 \times 1} = \frac{6}{4}
] - Simplify the Result:
Next, we simplify (\frac{6}{4}): [
\frac{6}{4} = \frac{3}{2}
] The fraction (\frac{3}{2}) can also be expressed as 1 and 1/2, which means there are 1.5 or 1 and a half 1/2 cups in 3/4 cup.
Conclusion:
Therefore, to make 3/4 of a cup, you need 1 and a half 1/2 cups. This calculation is particularly useful in cooking and baking, where precise measurements can significantly affect the outcome of a recipe. Understanding how to manipulate fractions is a crucial skill in the kitchen. By breaking down the measurement process into simple steps, it becomes easier to manage portion sizes and ensure that recipes are followed accurately. This kind of fraction manipulation can also apply to other cooking conversions, making it an essential tool for any home cook or baker.