Final answer:
To find out how much more paint is needed for the living room, subtract the paint used for the family room from the estimated paint for the living room, resulting in an additional 1 8/9 gallons needed.
Step-by-step explanation:
The student is asking how much additional paint is needed to complete painting the living room compared to the family room. To calculate this, we convert all mixed numbers to improper fractions.
- 3 1/3 gallons becomes 10/3 gallons.
- 2 7/9 gallons becomes 23/9 gallons, which represents the paint used for the family room.
- 4 4/9 gallons becomes 40/9 gallons, which is the estimate for the living room.
Next, we subtract the amount of paint for the family room from the paint estimated for the living room:
(40/9) - (23/9) = (17/9) gallons
Converting 17/9 gallons to a mixed number gives us 1 8/9 gallons.
Therefore, the painter will need an additional 1 8/9 gallons to paint the living room.