Final answer:
The unit rate of 6/11 ÷ 1/6 is not 1/11, it is actually 36/11 or 33/11. Therefore, the statement is false.
Step-by-step explanation:
The student is asking whether the unit rate of 6/11 ÷ 1/6 is 1/11. To find the unit rate, we need to perform the division of 6/11 by 1/6. Dividing by a fraction is the same as multiplying by its reciprocal. So, we multiply 6/11 by the reciprocal of 1/6, which is 6/1.
6/11 × 6/1 = 36/11
This simplifies to 33/11, which is not equal to 1/11. Therefore, the statement that the unit rate of 6/11 ÷ 1/6 is 1/11 is False.