Sandy is working with a carpenter to frame a house. They are using 8 foot long boards but each board must be cut to be 7 feet, 10 3/4 inches long. How much is cut off each board?

The answer is 5/4 in

The initial length:

1 ft = 12 in

8 ft = 8 * 12 in

= 96 in

The final length:

7 ft 10 3/4 in = 7 ft + 10 in + 3/4 in

= 7 * 12 in + 10 in + 3/4 in

= 84 in + 10 in + 3/4 in

= 94 in + 3/4 in

The cut if the initial length - final length:

96 in - 94 in - 3/4 in = 2 in - 3/4 in = 8/4 in - 3/4 in = 5/4 in