Please check my answer.

Multiply the reciprocal of 4 1/2 by 8/9.

My answer: 9/2 x 8/9
2/9 x 8/9 = 16/81

Right.

thanks Ms. Sue.

You're welcome, Lisa.

To multiply the reciprocal of 4 1/2 by 8/9, you first need to find the reciprocal of 4 1/2. To do that, flip the fraction and change the sign of the whole number. The reciprocal of 4 1/2 is 2/9.

Next, multiply the reciprocal (2/9) by 8/9. To multiply fractions, multiply the numerators (top numbers) together and the denominators (bottom numbers) together. So, 2/9 multiplied by 8/9 would be:

(2 x 8) / (9 x 9) = 16/81

Therefore, your calculation is correct. The answer is 16/81.