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To divide fractions, we need to multiply the first fraction by the reciprocal of the second fraction.
Reciprocal of 1/3 = 3/1
Therefore, 9/11 ÷ 1/3 = 9/11 * 3/1
Multiplying the numerators (9 * 3) and the denominators (11 * 1), we get:
27/11
So, the simplified answer is 27/11.