Matties house is 2 stories and an attic the first floor is 8 5/6 feet the second is 8 1/2 feet tall and the entire house is 24 1/3 how tall is the attic

The attic is 7ft tall.

Given:

height of the house = 24 1/3 ft

height of the 1st floor = 8 5/6 ft

height of the 2nd floor = 8 1/2 ft

height of the attice = ?

Add the heights of 1st and 2nd floor. Make sure that the mixed fractions are converted into fractions.

8 5/6 = (8 * 6 + 5) / 6 = 53/6

8 1/2 = (8 * 2 + 1) / 2 = 17/2

53/6 + 17/2 * both fractions must have the same denominator.

53/6 + 17/2*3/3 = 53/6 + 51/6 = (53+51) / 6 = 104/6

Simplify 104/6 ⇒ 52/3 ft height of 1st and 2nd floor.

To get the height of the attice, subtract the sum of 1st and 2nd floor from the height of the house.

24 1/3 = (24*3+1) / 3 = 73/3

73/3 - 52/3 = (73-52) / 3 = 21/3 = 7 ft. height of the attic.