A new road that connects Uniontown to Springville is 4 1/3 miles long. What is the change in distance when using the new road instead of the dirt roads? Write your answer as a mixed number. (Measurements of the dirt roads: 2 3/8 miles and 3 5/6 miles).

So it is stated that there are 2 dirt roads with the given measurements. Let us add the two first.

dirt road = 2 3/8 miles + 3 5/6 miles

dirt road = 19/8 miles + 23/6 miles

dirt road = (114/48 + 184/48) = 298/48 miles

The difference is:

difference = 298/48 - 4 1/3

difference = 298/48 - 13/3

difference = 298/48 - 208/48 = 90/48 = 1 42/48 = 1 7/8

Answer:

1 7/8 miles