To determine the fraction used to divide \( \frac{1}{3} \) and \( \frac{4}{12} \), let's first simplify \( \frac{4}{12} \):
\[ \frac{4}{12} = \frac{1}{3} \]
Now, we can see that both fractions \( \frac{1}{3} \) and \( \frac{4}{12} \) are equivalent.
Next, we're tasked with analyzing a possible fraction used for division involving options A ( \( \frac{1}{12} \)), B ( \( 4/3 \)), C ( \( \frac{3}{4} \)), and D ( \( \frac{1}{4} \)).
Since \( \frac{1}{3} \) is equal to \( \frac{4}{12} \), there may be an implicit comparison or operation intended. However, it's not entirely clear what specific operation to perform with the provided options.
If we divide \( \frac{1}{3} \) by a fraction, we can represent it as:
\[ \frac{1/3}{x} = \frac{1}{3} \cdot \frac{1}{x} \]
If we want to find a specific value of \( x \) such that the result matches \( \frac{4}{12} \) (which simplifies to \( \frac{1}{3} \)), we can see that \( x \) would be equal to \( 1 \), indicating no division occurs.
If we consider another intent, such as finding a fraction from the options that when multiplied returns to a valid result, additional context would be helpful.
Ultimately, since both \( \frac{1}{3} \) and \( \frac{4}{12} \) yield the same outcome, and without additional clarification on what needs to be done with A, B, C, and D, the relationship remains:
\[ \frac{1}{3} = \frac{4}{12} \]
Returning to the answer options with the available fractions, none of the fractions directly contributes to modifying or balancing the terms without prior context. Please provide additional information on how you'd like to apply these options in relation to \( \frac{1}{3} \) and \( \frac{4}{12} \).
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