The correct statement about determining the quotient \( 12 \div \frac{1}{4} \) is:
Because \( 24 \times \frac{1}{4} = 12 \), \( 12 \) divided by \( \frac{1}{4} \) is \( 24 \).
To clarify why this is true:
When you divide by a fraction, it's equivalent to multiplying by its reciprocal. So:
\[ 12 \div \frac{1}{4} = 12 \times 4 = 48 \]
However, your statement options seem to have conveyed incorrect calculations or results. The correct interpretation of \( 12 \div \frac{1}{4} \) is actually \( 48 \).
Thus, none of the statements given have an accurate portrayal of \( 12 \div \frac{1}{4} \) resulting in \( 24 \) or any other number. It looks like an error in the presented statements about the specifics of the calculations is present too.
In summary, \( 12 \div \frac{1}{4} = 48 \).