Possible Error in Question:
The total given distance (8/14) is less than the distance travelled hence the result would be negative and not rational. I am assuming the question has an error and the actual total distance is [tex]{8} \frac{1}{4}[/tex] instead of 8/14.
Explanation:
Total Distance:
[tex]{8}\frac{1}{4}[/tex]
Distance Covered:
[tex]\frac{3}{4}[/tex]
Distance remaining can be calculated by subtracting the covered distance from the total distance.
Distance Remaining = Total Distance - Distance Covered;
Distance Remaining = [tex]8\frac{1}{4}-\frac{3}{4}[/tex]
Distance Remaining = [tex]\frac{(8*4) + 1}{4}- \frac{3}{4}[/tex]
Distance Remaining = [tex]\frac{33}{4} -\frac{3}{4}[/tex]
Distance Remaining = [tex]\frac{33-3}{4}[/tex]
Distance Remaining = [tex]\frac{30}{4}[/tex]
Distance Remaining = [tex]\frac{15}{2}[/tex]
Distance Remaining = [tex]{7}\frac{1}{2}[/tex]