To divide fractions, you need to multiply the first fraction by the reciprocal of the second fraction.
Reciprocal of 1/3 = 3/1
9/11 ÷ 1/3 = 9/11 × 3/1
Now, multiply the numerators together: 9 × 3 = 27
And multiply the denominators together: 11 × 1 = 11
So, the result is 27/11.
However, we can simplify this fraction further by dividing both the numerator and denominator by their greatest common divisor, which is 1.
27/11 ÷ 1 = 27/11
So, the final answer is 27/11.