Renee hiked for 3 and 3 / 4 miles. After resting, Renee hiked back along the same route for 2 and 1 / 4 miles. How many more miles does Renee need to hike to return to the place where she started? Represent your answer as a simplified mixed number, if necessary.

5 miles to go back to werw he started

Distance hiked on the way out is 3 + 3/4 miles, or 3 3/4 miles, or 15/4 miles.

Distance hiked part way back is 2 + 1/4 miles, or 2 1/4 miles, or 9/4 miles.

How much further will she have to walk to return to her original starting place?

This is 15/4 - 9/4, or 6/4, or 3/2, or 1 1/2 (miles).

Another way in which you could do this problem: 3-2 = 1 (mile)

(3/4) - (1/4) (mile)

Answer: 1 mile + (1/2) mile

= 1 1/2 miles further.