To find out how much more soda Clara drank than Todd, we need to subtract the amount Todd drank from the amount Clara drank.
Clara drank \( \frac{1}{4} \) of a bottle, and Todd drank \( \frac{1}{6} \) of a bottle. To do the subtraction, we first need a common denominator.
The least common multiple of 4 and 6 is 12.
Next, we will convert \( \frac{1}{4} \) and \( \frac{1}{6} \) to have a denominator of 12:
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For \( \frac{1}{4} \): \[ \frac{1}{4} = \frac{1 \times 3}{4 \times 3} = \frac{3}{12} \]
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For \( \frac{1}{6} \): \[ \frac{1}{6} = \frac{1 \times 2}{6 \times 2} = \frac{2}{12} \]
Now we can subtract the two fractions:
\[ \frac{3}{12} - \frac{2}{12} = \frac{3 - 2}{12} = \frac{1}{12} \]
Thus, Clara drank \( \frac{1}{12} \) of a bottle more than Todd.
The answer is \( \frac{1}{12} \).