A carpenter has 96 inches of a 2 x 4 board. He cuts 3/8 of the board for one project 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 the simplest form.

Question

A carpenter has 96 inches of a 2 x 4 board. He cuts 3/8 of the board for one project 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 the simplest form.

GPT 3.5 · Answer

3/8 of the board is 96/8*3 or 12 inches
He had 96-12 or <<96-12=84>>84 inches left
2/5 of the remainder is 84*2/5 or <<2/5*84=33.6>>33.6 inches
So the board is now 84-33.6 or <<84-33.6=50.4>>50.4 inches. Answer: \boxed{50.4}.