Question

An obstacle course is marked into 3 different sections. The first part of the course is 1/2 of a mile. The second part is 1 and 1/4 miles. The last part of the course is 2/5 of a mile. What is the total distance of the course?

Answer 1

The total distance of the course is 2 and 3/20 miles.

Step-by-step explanation:

To find the total distance of the course, we need to add up the distances of the three different sections. The first part of the course is 1/2 of a mile, the second part is 1 and 1/4 miles, and the last part is 2/5 of a mile.

To add fractions, we need to make sure the denominators are the same. We can do this by finding a common denominator. In this case, the common denominator is 20.

Converting the fractions to have a denominator of 20, we have:

1/2 mile = 10/20 mile

1 and 1/4 miles = 5/4 miles = 25/20 miles

2/5 mile = 8/20 mile

Now we can add the fractions:

10/20 mile + 25/20 miles + 8/20 mile = 43/20 miles

So the total distance of the course is 43/20 miles or 2 and 3/20 miles.