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?

Verified Answer :

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

Answer:

\(\frac{281}{4} inches\) is the remaining piece of board.

Step-by-step explanation:

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

1 foot = 12 inches

9 feet 9 (1/2) inches = \(9\times 12 +\frac{19}{2} inches=\frac{163}{2} inches\)

Length of the board =T=\(\frac{163}{2}inches\)

Length of the board cut by Jeff = l = \(11\frac{1}{4} inches=\frac{45}{4} inches\)

Length of the remaining piece of board: T - l

=\(\frac{163}{2}inches-\frac{45}{4} inches=\frac{281}{4} inches\)