Final answer:
To calculate the total bushels of apples picked by Paul, Karl, and Carol, we add their individual amounts, converting mixed numbers to improper fractions and then back to a mixed number, resulting in a total of 10 2/3 bushels.
Step-by-step explanation:
The question involves adding together different quantities of bushels of apples picked by Paul, Karl, and Carol. To find out how many bushels they picked in all, we need to add the fractions together:
- Paul picked 2 2/3 bushels of apples.
- Karl picked 4 1/3 bushels of apples.
- Carol picked 3 2/3 bushels of apples.
Firstly, we can simplify the addition by converting mixed numbers to improper fractions:
- 2 2/3 = (2 × 3) + 2 = 6 + 2 = 8/3 bushels
- 4 1/3 = (4 × 3) + 1 = 12 + 1 = 13/3 bushels
- 3 2/3 = (3 × 3) + 2 = 9 + 2 = 11/3 bushels
Now we add these improper fractions together:
8/3 + 13/3 + 11/3 = (8 + 13 + 11) / 3 = 32/3 bushels
To convert this back into a mixed number, we divide 32 by 3:
32 ÷ 3 = 10 with a remainder of 2, so 32/3 = 10 2/3 bushels.
Therefore, Paul, Karl, and Carol picked a total of 10 2/3 bushels of apples.