What is the correct measurement when cutting 2 2/3 cups of flour in half?
The Correct Answer and Explanation is :
To cut 2 2/3 cups of flour in half, you first need to convert the mixed number into an improper fraction.
- Convert 2 2/3 to an Improper Fraction:
- The whole number 2 can be expressed as (2 \times 3/3 = 6/3).
- Therefore, (2 2/3) can be written as:
[
\frac{6}{3} + \frac{2}{3} = \frac{8}{3}
]
- Divide by 2:
- To find half of ( \frac{8}{3} ), you can multiply by ( \frac{1}{2} ):
[
\frac{8}{3} \times \frac{1}{2} = \frac{8 \times 1}{3 \times 2} = \frac{8}{6}
]
- Simplify:
- The fraction ( \frac{8}{6} ) can be simplified by dividing both the numerator and the denominator by 2:
[
\frac{8 \div 2}{6 \div 2} = \frac{4}{3}
]
- Convert Back to Cups:
- ( \frac{4}{3} ) can also be expressed as a mixed number:
[
4 \div 3 = 1 \text{ remainder } 1, \text{ or } 1 \frac{1}{3}
] - Thus, half of 2 2/3 cups of flour is 1 1/3 cups.
Explanation
Understanding how to manipulate measurements is crucial in cooking and baking. When recipes call for specific amounts of ingredients, accuracy can significantly affect the outcome. For instance, in baking, the right flour measurement contributes to the texture and structure of baked goods.
Cutting a measurement like 2 2/3 cups in half requires converting it into a more manageable form. Improper fractions can be easier to work with than mixed numbers, particularly when performing operations like multiplication or division.
Once you understand the conversion process, you can confidently halve any measurement. Simplifying fractions ensures you’re left with the most straightforward form, which is essential for clarity in recipes. The final answer, 1 1/3 cups, is not just a numerical solution but an essential skill in culinary practices, enabling you to adjust recipes as needed without compromising quality.