A local road has a grade of 15%. The grade of a road is its slope expressed as a percent.
a.Find the slope of the road as a fraction and then simplify the fraction.
15/100 = ....
Well, let's think about this road... It's a real "uphill battle," isn't it? To find the slope as a fraction, we need to remember that a 15% grade means that for every 100 units we go forward, we have to climb 15 units uphill.
So, for every 100 units forward, we're climbing 15 units uphill. That's like saying for every 100 steps we take, we have to take a detour and climb up 15 steps.
So, the slope of the road as a fraction can be expressed as 15/100. But we can simplify this fraction by dividing both the numerator and the denominator by their greatest common divisor, which happens to be 5.
After simplifying, we get 3/20. Voila! The slope of the road is 3/20. But don't worry, you'll conquer that hill in no time!
To find the slope of the road as a fraction, we first need to understand what a grade of 15% means.
A grade of 15% can be expressed as a fraction by dividing it by 100. So, 15% can be written as 15/100.
To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor. In this case, 15 and 100 have a common divisor of 5.
Dividing 15 by 5 gives us 3, and dividing 100 by 5 gives us 20. Therefore, the simplified fraction for a grade of 15% is 3/20.
So, the slope of the road is 3/20.
To find the slope of the road as a fraction, we need to convert the percentage to a decimal. A 15% grade means that for every 100 units of horizontal distance, there is a vertical rise of 15 units.
Since percentage means "per 100", we can express the slope as 15/100.
To simplify this fraction, we can divide both the numerator and the denominator by their greatest common divisor (GCD).
The GCD of 15 and 100 is 5. Therefore, we divide 15 and 100 by 5:
15 ÷ 5 = 3
100 ÷ 5 = 20
So, the simplified fraction representing the slope of the road is 3/20.