Sarabeth ran 1 2/5 miles on a path around the park. this was 5/8 of the distance around the park. what is the distance around the park.

1 + 2/5 = 7 / 5 = 0.2 * 7 = 1.4miles
5/8 = 0.125 * 5 = 0.625 = 62.5% of park distance
1.4 miles = 62.5%
100% / 62.5% = x
total distance / 1.4 = x
total distance = 1.4x

First, convert 1 2/5 miles to decimal form. That's 1.4 miles. Then convert 5/8 to decimal. That's .625. So, we know that 1.4 miles is .625 of the distance (x) around the park. Here's the equation, and the solution is just division. Easy!

1.4 miles = .625x

1.4/.625 = 2.24 miles

The answer would be 484