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To find the number of sections George can cut from the board, we need to divide the length of the board by the length of each section.
3 1/4 feet = 3 + 1/4 = 3 + 0.25 = 3.25 feet
3/4 feet = 0.75 feet
Therefore, the number of sections he can cut from the board is 3.25 / 0.75 = <<3.25/0.75=4.33>>4.33 sections.
However, since we cannot have a fraction of a section, George can cut a maximum of 4 sections from the board.