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To find the length of the piece of wood you are going to cut, you need to subtract 1/2 in. from 1 1/4 in.
1 1/4 in. - 1/2 in. = 1 in. + 1/4 in. - 1/2 in. = 1 in. + 1/4 - 2/4 = 1 in. - 1/4 in. = 3/4 in.
Therefore, the length of the piece of wood you are going to cut is 3/4 in.