A carpenter has 96 inches of a 2 x 4 board. He cuts 3/8 of the board for one project and then cuts 2/5 of the remainder for another project. How many inches of the 2 x 4 board are left? Express the answer in simplest form.(1 point)
The carpenter cuts 3/8 of the board, leaving 1 - 3/8 = 5/8 of the board.
He then cuts 2/5 of 5/8, leaving 5/8 - (2/5)(5/8) = 5/8 - 1/4 = 5/8 - 2/8 = 3/8 of the board left.
There are 96 inches in the 2 x 4 board, so 3/8 of the board is equal to 3/8 * 96 = <<3/8*96=36>>36 inches. Answer: \boxed{36}.