Final answer:
Mr. Gonzales can paint 1/6 of his wall per hour, which is found by dividing 1/9 by 2/3 (multiplying by the reciprocal) to get 3/18, which simplifies to 1/6.
Step-by-step explanation:
Mr. Gonzales can paint 1/9 of his wall in 2/3 of an hour.
To calculate how much of the wall he can paint in one hour, we set up a proportion.
We divide the fraction of the wall he can paint by the time it takes to paint that fraction, which is 1/9 divided by 2/3.
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction.
So, 1/9 × 3/2 equals 3/18, which simplifies to 1/6. This means Mr. Gonzales can paint 1/6 of the wall per hour.