Question

Tyler cut 40 1/8 inch board into 3 pieces of equal length. He then cut 3 3/4 iches off of each piece to make smaller boards. What is the length of each smaller boards?

Answer 1

`9(5)/(8)\ inches`

Explanation:

The original board is 40 1/8 inch and it is cut in 3 pieces of equal length:

New boards =
`40(1)/(8) : 3 = (321)/(8) * (1)/(3) = (107)/(8)`

And now he cuts again 3 3/4 inches off of each one of the new boards (substracts)

`(107)/(8) - 3(3)/(4) =(107)/(8) -(15)/(4) =(107-30)/(8) =(77)/(8) =9(5)/(8) \ inches`