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).
Accepted Solution
A:
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