Edwin walks for 2 1/2 hours. he walks 1 2/3 miles in the first hour, 1 3/4 miles in the second hour and 1/4 of the total distance in the last 1/2 hour.what is the total distance edwin walks?

The total distance is 41/9 = 4 5/9 miles

Step-by-step explanation:

Total time is 2 1/2 hours.  

First hour, he walks 1 2/3 = 5/3 miles.

Second hour, he walks 1 3/4 = 7/4 miles.

The last half hour he walks 1/4 of total distance. If we call total distance x.

Now, we can eliminate the denominator, multiplying by four and by three.  

Total distance is 4 5/9 miles

You need to solve for x (get x by itself)

x - 18 = -5    Add 18 on both sides

x - 18 + 18 = -5 + 18

x = 13