MATH SOLVE

4 months ago

Q:
# The hiking trail through glacier gorge is 9 3/5 miles round trip. If you hike 1 3/5 miles an hour how many hours will the round trip take carnegie math

Accepted Solution

A:

Answer:6hsStep-by-step explanation:First of all, lets write all our data in fractions to make it easier to calculate. 9 3/5 is 9 + 3/5, so we can sum using a common denominator to 9 and 3/5. For this, we will multiply and divide 9 by 5 to "make" a 5 appear as a denominator:5*9/5 + 3/5 = 45/5 +3/5 = 48/5Lets do the same with 1 3/5:1 + 3/5 = 1*5/5 + 3/5 = 5/5 + 3/5 + 8/5Now, if it takes 1 hour to hike 8/5 miles, and the total distance is 48/5 miles, we just need to get how many times 8/5 enters in 48/5, which is, hoy many hours it takes to round all the trail. We do it by just dividing the total distance by our time to make 1 mile:[48/5] / [8/5] =Dividing by a fraction is equivalent to multiply by its inverse, and the inverse of 8/5 is 5/8. So:[48/5] / [8/5] = [48/5] * [5/8] = [48*5]/[5* 8]We can drop the fives in numerator and denominator:=48/8 = 6So, it will take 6 hours to do all the trail. You can verify this result by summing 8/5 again and again until you get 48/5. This will take you to sum 6 times.