Convert 42 fluid ounces to cups. Express your answer in simplest form.
a. 336 cups b. 5 2/8 cups c. 5 1/4 cups d. 10 1/4 cups
The Correct Answer and Explanation is:
To convert 42 fluid ounces to cups, we need to know the conversion factor between fluid ounces and cups. The standard conversion is:
[
1 \, \text{cup} = 8 \, \text{fluid ounces}
]
Given that we want to convert 42 fluid ounces to cups, we can set up the conversion as follows:
[
\text{Cups} = \frac{\text{Fluid ounces}}{8}
]
Substitute 42 for the number of fluid ounces:
[
\text{Cups} = \frac{42}{8}
]
Now, divide 42 by 8:
[
\text{Cups} = 5.25
]
The decimal 5.25 can be written as a mixed number:
[
5.25 = 5 \frac{1}{4}
]
Thus, 42 fluid ounces is equal to 5 1/4 cups.
The correct answer is c. 5 1/4 cups.
Explanation:
When converting units, it’s important to know the appropriate conversion factor. Here, we are dealing with fluid ounces and cups. The conversion factor for fluid ounces to cups is (1 \, \text{cup} = 8 \, \text{fluid ounces}), meaning that each cup contains 8 fluid ounces.
By dividing 42 fluid ounces by 8, we get the result of 5.25 cups. This can be expressed as a mixed number by recognizing that 0.25 is equivalent to ( \frac{1}{4} ), so 5.25 becomes 5 and 1/4.
This method of converting ensures that the answer is accurate and expressed in its simplest form. Since the other answer choices involve much larger or incorrect values (like 336 cups), we can confidently conclude that the correct conversion is 5 1/4 cups.