Analyze and Persevere A recipe calls for 0.5 cup of milk. Express the number of cups of milk as a fraction
The Correct Answer and Explanation is :
To express 0.5 cups of milk as a fraction, we start by recognizing that 0.5 can be rewritten in fraction form. The decimal 0.5 is equivalent to 5 tenths, which can be expressed as the fraction ( \frac{5}{10} ). However, this fraction can be simplified by dividing both the numerator and the denominator by their greatest common divisor (GCD), which in this case is 5.
When we divide 5 by 5, we get 1, and when we divide 10 by 5, we get 2. Thus, ( \frac{5}{10} ) simplifies to ( \frac{1}{2} ). Therefore, 0.5 cups of milk can be expressed as the fraction ( \frac{1}{2} ) cup.
Now, let’s delve into the significance of expressing quantities as fractions in recipes. Recipes are often designed to achieve specific flavors and textures, and precise measurements are essential to ensure consistent results. When a recipe calls for an ingredient in decimal form, like 0.5 cups, converting it to a fraction can be helpful, especially for those who are more comfortable using fractions or who may not have measuring cups marked in decimals.
Understanding fractions can also enhance one’s cooking skills, allowing for more versatility in the kitchen. For example, if a recipe requires 0.5 cups of milk and you want to double it, you would then need 1 cup of milk (since ( \frac{1}{2} \times 2 = 1 )). Conversely, if you are halving a recipe, knowing that 0.5 cups is ( \frac{1}{2} ) allows you to easily determine that you would need ( \frac{1}{4} ) cup of milk.
In conclusion, converting 0.5 cups of milk into the fraction ( \frac{1}{2} ) not only simplifies measurement but also aids in understanding proportions, which is vital for successful cooking and baking.