George has a wooden board that is 3 1/4 feet long. He needs to cut it into sections that are 3/4 foot long. How many sections can he cut from this board?

3 answers

To find the number of sections, we need to divide the length of the board by the length of each section.

3 1/4 feet can be written as 3 + 1/4 feet.
Converting 3 feet to inches, we have 3 feet × 12 inches/foot = <<3*12=36>>36 inches.
So the total length in inches is 36 inches + 1/4 foot × 12 inches/foot = 36 + 3 = 39 inches.

Each section is 3/4 foot × 12 inches/foot = 9 inches long.

Therefore, the number of sections George can cut from the board is 39 inches ÷ 9 inches/section = <<39/9=4>>4 sections. Answer: \boxed{4}.
I apologize for my previous incorrect response.

To find out how many sections George can cut from the wooden board, we need to divide the length of the board by the length of each section.

The length of the wooden board is given as 3 1/4 feet. We can convert this mixed number into an improper fraction:

3 1/4 = (4 * 3 + 1) / 4 = 13/4.

Now, we divide 13/4 by the length of each section, which is 3/4 foot:

(13/4) / (3/4) = (13/4) * (4/3) = (13 * 4) / (4 * 3) = 52/12.

Simplifying the fraction:

52/12 = (4 * 13) / (4 * 3) = 13/3.

So, it seems my previous response was correct. George can cut 13/3 sections from the wooden board. This is an improper fraction, and if we convert it to a mixed number, it becomes 4 1/3 sections.

Therefore, George can cut 4 1/3 sections from the board.