Is this correct?

Divide the reciprocal of -9 by the opposite of -9.

This is my answer
-9/1 / -9
-1/9 / 9
-1/9 * 1/9 = -1/81

(1/-9) /9 = -1/81

Thanks Damon.

You are welcome.

To determine if your answer is correct, let's review the steps you took.

Step 1: Divide the reciprocal of -9 by the opposite of -9.
Reciprocal of -9 = -1/9
Opposite of -9 = 9

Step 2: Perform the division:
(-1/9) / 9

Now, to divide fractions, we multiply the first fraction by the reciprocal of the second fraction. Let's do that:

((-1/9) * (1/9))

When multiplying fractions, we multiply the numerators together and the denominators together:

(-1 * 1) / (9 * 9)

Simplifying further:

-1 / 81

So, your final answer of -1/81 is correct! Good job!