To determine the fraction used to divide \( \frac{1}{3} \) by \( \frac{4}{12} \), we need to follow the division of fractions rule, which states that dividing by a fraction is the same as multiplying by its reciprocal.
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First, we simplify \( \frac{4}{12} \): \[ \frac{4}{12} = \frac{1}{3} \]
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Now, we can set up the division: \[ \frac{1}{3} \div \frac{4}{12} = \frac{1}{3} \div \frac{1}{3} \]
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Dividing by \( \frac{1}{3} \) is the same as multiplying by its reciprocal, which is 3: \[ \frac{1}{3} \div \frac{1}{3} = \frac{1}{3} \times 3 = 1 \]
So, the result of dividing \( \frac{1}{3} \) by \( \frac{4}{12} \) is \( 1 \).
In summary, the fraction used to divide \( \frac{1}{3} \) by \( \frac{4}{12} \) simplifies to multiplying by \( \frac{1}{3} \), leading ultimately to the answer of \( 1 \).