To compute \( \frac{9}{11} \div \frac{1}{3} \), you can multiply by the reciprocal of the second fraction:
\[ \frac{9}{11} \div \frac{1}{3} = \frac{9}{11} \times \frac{3}{1} \]
Now, multiply the numerators and the denominators:
\[ = \frac{9 \times 3}{11 \times 1} = \frac{27}{11} \]
The fraction \( \frac{27}{11} \) is already in its simplest form, as 27 and 11 have no common factors.
Thus, the answer is:
\[ \frac{27}{11} \]
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