Which roof is steeper: a roof with a rise of 12 and run of 7 or a roof with a rise of 8 and a run of 4?
slope = rise/run
so which fraction is bigger,
12/7 or 8/4
of course you know that 8/4 = 2, so is
12/7 greater or less than 2 ?
To determine which roof is steeper, you can compare the slopes of the two roofs. The slope of a roof is determined by the ratio of the rise (vertical distance) to the run (horizontal distance).
For the first roof with a rise of 12 and a run of 7, the slope can be calculated as rise/run = 12/7 ≈ 1.71.
For the second roof with a rise of 8 and a run of 4, the slope can be calculated as rise/run = 8/4 = 2.
Comparing the slopes, we find that the slope of the second roof is greater than the first roof. Therefore, the roof with a rise of 8 and a run of 4 is steeper than the roof with a rise of 12 and a run of 7.