Answer:The length of the remaining part of the board is 3 3/4 feet
Explanation:
The total length of the board initially is 12 - foot. The carpenter cut pieces from a 12-foot-long board that were 4 3/4 feet long and 3 1/2 feet long. Converting 4 3/4 feet to improper fraction, it becomes 19/4 feet. Converting 3 1/2 feet to improper fraction, it becomes 7/2 feet.
The total length of the board that was cut by the carpenter would be
19/4 + 7/2 = 33/4 feet.
The length of the remaining part of the board would be
12 - 33/4 = 15/4 = 3 3/4 feet