Answer: 1 and 5/22
Step-by-step explanation: In this problem, we have 3/11 divided by 2/9. Dividing by a fraction is the same as multiplying by its reciprocal. In other words, we can change the division sign to multiplication and flip the second fraction.
So, 3/11 ÷ 2/9 can be rewritten as 3/11 × 9/2.
Now, we are simply multiplying fractions. To multiply fractions, we multiply across the numerators and multiply across the denominators.

The fraction 27/22 can be written as a mixed number by dividing the denominator into the numerator.
Image provided.
Therefore, 3/11 divided by 2/9 = 1 and 5/22.