Answer:
to complete 3 1/4 sections of the construction project, Adam will need 8 2/3 gallons of paint.
Explanation:
To find the total amount of paint Adam will need to complete 3 1/4 sections of the construction project, we can multiply the amount of paint needed for each section by the number of sections.
1. Each section of the project requires 2 2/3 gallons of paint. We can convert this mixed number into an improper fraction:
2 2/3 = (2 * 3 + 2) / 3 = 8/32. Adam plans to complete 3 1/4 sections of the project. We can convert this mixed number into an improper fraction:
3 1/4 = (3 * 4 + 1) / 4 = 13/4
3. Multiply the amount of paint needed per section by the number of sections:
(8/3) * (13/4)
4. Multiply the numerators together and the denominators together:
(8 * 13) / (3 * 4)
5. Simplify the multiplication:
104 / 12
6. Reduce the fraction to its simplest form:
8 2/3
Therefore, Adam will need 8 2/3 gallons of paint to complete 3 1/4 sections of the project.
In summary, to complete 3 1/4 sections of the construction project, Adam will need 8 2/3 gallons of paint.