Final answer:
The area of the wall is 2025/15 square feet. 1/3 of this area is 2025/45 square feet, which simplifies to 45 square feet.
Step-by-step explanation:
To find the area of the wall that Marcus painted blue, we first need to find the total area of the wall. The wall is 8 1/3 feet high and 16 1/5 feet long. We can convert these mixed numbers to improper fractions: 8 1/3 = 25/3 and 16 1/5 = 81/5. The area of the wall is then calculated by multiplying the height and length: 25/3 * 81/5 = 2025/15 square feet.
Next, we need to find 1/3 of the total wall area that Marcus painted blue. To do this, we multiply the total wall area (2025/15) by 1/3: (2025/15) * (1/3) = 2025/45 square feet.
Simplifying the fraction 2025/45, we get 45 as the greatest common divisor: (2025/45) ÷ 45/45 = 45/1 = 45 square feet. Therefore, the blue area on Marcus's wall is 45 square feet.