Question

A board is 9feet 9 1/2 inches long. Jeff cuts as many pieces with a length of 11 1/4 inches as possible from the board. Assuming no waste, how long is the remaining piece of board?

Answer 1

3/5 of an inch because 9ft=108in and 108/11.25 equals 9.6

Answer 2

`(281)/(4) inches` is the remaining piece of board.

Explanation:

Length of the board ,T= 9 feet 9 (1/2) inches

1 foot = 12 inches

9 feet 9 (1/2) inches =
`9* 12 +(19)/(2) inches=(163)/(2) inches`

Length of the board =T=
`(163)/(2)inches`

Length of the board cut by Jeff = l =
`11(1)/(4) inches=(45)/(4) inches`

Length of the remaining piece of board: T - l

=
`(163)/(2)inches-(45)/(4) inches=(281)/(4) inches`