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?

Respuesta :

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

Answer:

[tex]\frac{281}{4} inches[/tex] 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 = [tex]9\times 12 +\frac{19}{2} inches=\frac{163}{2} inches[/tex]

Length of the board =T=[tex]\frac{163}{2}inches[/tex]

Length of the board cut by Jeff = l = [tex]11\frac{1}{4} inches=\frac{45}{4} inches[/tex]

Length of the remaining piece of board: T - l

=[tex]\frac{163}{2}inches-\frac{45}{4} inches=\frac{281}{4} inches[/tex]

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