To solve this problem, we need to find the fraction of the 2 x 4 board that is left after each project.
First, let's find the fraction that is cut for the first project. The carpenter cuts 3/8 of the board, so the fraction remaining is 1 - 3/8 = 5/8.
Next, let's find the fraction that is cut for the second project. The carpenter cuts 2/5 of the remaining board, so the fraction remaining is (5/8) * (1 - 2/5) = (5/8) * (3/5) = 15/40.
To find the final fraction remaining, we subtract the fraction cut for the second project from the fraction remaining after the first project: 5/8 - 15/40 = 25/40 - 15/40 = 10/40 = 1/4.
Since the original board was 96 inches long, we can find the length of the remaining board by multiplying the length of the original board by the fraction remaining: 96 * 1/4 = 24 inches.
Therefore, the answer is 24 inches.
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
21 3/5 inches
21 Start Fraction 3 over 5 End Fraction inches
74 2/5 inches
74 Start Fraction 2 over 5 End Fraction inches
36 inches
30 inches
60 inches
60 inches
2 answers
wrong