If the rise of a roof is 8 feet and the run is 2 feet 8 inches, what is the pitch of the roof in lowest terms when written as a FRACTION?
If you show us how you think the problem should be solved, we'll be glad to check your work and your answer.
10/8
8 + 2= 10 feet
8 inches ????
To find the pitch of the roof, we need to determine the ratio of the rise to the run. The rise is given as 8 feet and the run is given as 2 feet 8 inches.
First, we need to convert the run to feet. Since there are 12 inches in a foot, 2 feet 8 inches can be written as 2 + (8/12) feet, which simplifies to 2 + (2/3) feet. To convert it into an improper fraction, we multiply the whole number (2) by the denominator of the fraction (3) and add the numerator (2), resulting in 8/3 feet.
Now that we have both measurements in feet, we can find the ratio of the rise to the run:
Pitch = Rise / Run = 8 feet / (8/3 feet)
To divide by a fraction, we "flip" the fraction and then multiply:
Pitch = 8 feet * (3/8 feet) = 24/8 = 3.
Thus, the pitch of the roof, when written as a fraction in lowest terms, is 3.