An 8 and 3/4 foot board must be shortened to 6 and 1/3 ft. How much must be removed?

Answer 1

This is a math question focused on fractions. The easiest way to answer it is to first convert the measurements into something that you can easily subtract, in this case, inches.

1 ft = 12 inches

8 and 3/4 ft board = (8*12) + (3/4 * 12) = 96 + 9 = 105 inches

6 and 1/3 ft board = (6*12) + (1/3 *12) = 72 + 4 = 76 inches

Now to restate the question: We have a board that is 105 inches and it needs to shortened to 76 inches. How much board needs to be removed? Write this into an equation:

76 in = 105 in - x - now you need to solve for x, by isolating it onto one side of the equation.

76 in + x = 105 in - x + x

76 in + x = 105in

76 in + x - 76 in = 105 in - 76 in

x = 105 in - 76 in

x = 29 in

29 inches, or 2 and 5/12 ft must be removed.