First arrange all of the distances as fractions
1 2/3 miles = 5/3
1 3/4 miles = 7/4
Now you have to make them common denominators
5/3 = 20/12
7/4 = 21/12
Now add them
20/12 + 21/12 = 41/12 miles
Now to find the distance in the last 1/2 hour.
41/12 x 1/4 = 41/48 miles
Now we have to add them, but first make them have common denominators.
41/12 = 164/48
Now to add it all up.
164/48 + 41/48 = 205/48 miles