Final answer:
To find out how many square yards you can sand in 3.2 hours, calculate the rate at which you can sand wood. Given that you can sand frac{4}{9} square yard of wood in frac{1}{2} hour, divide the amount of wood sanded by the time taken. Multiply the rate by the number of hours to get the final answer.
Step-by-step explanation:
To find out how many square yards you can sand in 3.2 hours, you need to calculate the rate at which you can sand wood.
Given: You can sand frac{4}{9} square yard of wood in frac{1}{2} hour.
To find the rate, divide the amount of wood sanded by the time taken: frac{frac{4}{9}text{ square yard}}{frac{1}{2}text{ hour}}.
Multiply and divide the fractions: frac{4}{9}cdotfrac{2}{1} = frac{8}{9} text{ square yard per hour}.
Now, multiply the rate by the number of hours: frac{8}{9}cdot3.2 = frac{25.6}{9} = 2.84 text{ square yards in 3.2 hours}.
Therefore, you can sand approximately 2.84 square yards of wood in 3.2 hours.