What is half of 3/4 teaspoon?
The Correct Answer and Explanation is :
Half of ( \frac{3}{4} ) teaspoon can be found by dividing ( \frac{3}{4} ) by 2.
To do this mathematically, we can rewrite the operation as:
[
\frac{3}{4} \div 2 = \frac{3}{4} \times \frac{1}{2}
]
When multiplying fractions, we multiply the numerators together and the denominators together:
[
\frac{3 \times 1}{4 \times 2} = \frac{3}{8}
]
Thus, half of ( \frac{3}{4} ) teaspoon is ( \frac{3}{8} ) teaspoon.
Explanation
Understanding fractions and their operations is essential in cooking, baking, and other precise measurements, especially when dealing with small quantities. The ability to manipulate fractions allows you to adjust recipes, ensuring the right proportions for desired flavors and textures.
In this case, we started with ( \frac{3}{4} ) teaspoon. This fraction represents three parts of a total of four equal parts. When you want to find half of this amount, you are essentially dividing it into two equal portions.
To perform this operation, we can think of division in terms of multiplication, where dividing by a whole number (like 2) can be converted into multiplication by the reciprocal (in this case, ( \frac{1}{2} )). This technique simplifies the calculation and reinforces the idea that fractions can be manipulated in various ways to achieve the desired results.
Using this method, we arrive at ( \frac{3}{8} ) teaspoon. This measurement is also useful because it demonstrates the importance of understanding how to scale recipes up or down. Knowing how to accurately halve ingredients is a valuable skill that can help prevent waste and ensure the final dish is perfect.
In summary, half of ( \frac{3}{4} ) teaspoon is ( \frac{3}{8} ) teaspoon, illustrating the fundamental principles of fraction manipulation.