Henry incorrectly said the rate 1/3 pound / 1/9 gallon can be written as the unit rate 1/27 pound per gallon. What is the correct unit rate? What was Henry´s likely error?

The unit rate is 3 pounds per gallon.

Henry's likely error could have been that he multiplied instead of dividing.

Step-by-step explanation:

Given the rate  1/3 pound / 1/9 gallon, this can be written in the unit rate by dividing 1/3 pound by 1/9 gallon. First, we will evaluate 1/3 divided by 1/9 and the unit will be in pound per gallon.

1/3 divided by 1/9 can be written as

This then becomes

Hence, the unit rate is 3 pounds per gallon.

Henry's likely error could have been that he multiplied instead of dividing. That is, he multiplied 1/3 by 1/9, Such that he gets

Hence, the 1/27 pound per gallon he got.

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