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The unit rate of 6/11 ÷ 1/6 is 1/11. True or False

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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.

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