Answer:
Sam has traveled a distance of 9/16 of a mile
Explanation:
Here, we want to calculate the distance traveled by Sam so far.
The distance between his home and the library is 3/4 mile = 0.75 mile
Now, he is 1/4 of the way there; this means that he has traveled a total of 3/4 of the total distance.
By being at a distance which is just a quarter of the total, it means he has already traveled 3/4 of the journey.
So the distance traveled so far will be 3/4 of 0.75 or more simply 3/4 of 3/4 = 3/4 * 3/4 = 9/16 of a mile