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)

Responses

7425 inches
74 Start Fraction 2 over 5 End Fraction inches

36 inches
36 inches

60 inches
60 inches

2135 inches

1 answer

To find the remaining length of the board, we need to subtract the lengths that were cut for the two projects.

First, the carpenter cuts 3/8 of the board, which is equal to (3/8) * 96 = 36 inches.

The remaining length of the board after the first project is 96 - 36 = 60 inches.

Then, the carpenter cuts 2/5 of the remaining board length, which is equal to (2/5) * 60 = 24 inches.

The final remaining length of the board is 60 - 24 = 36 inches.

So, the answer is 36 inches.