Answer:
[tex]1\frac{5}{12}[/tex] miles
Step-by-step explanation:
After riding 2/3 of a mile, she discovered that she still needed to travel 3/4 of a mile.
So, we will add both the distances to get the total path. (the covered distance plus the remaining distance.)
[tex]\frac{2}{3} +\frac{3}{4}[/tex]
LCM of 3 and 4 (denominators) is 12
[tex]\frac{8+9}{12}[/tex]
= [tex]\frac{17}{12}[/tex]
= [tex]1\frac{5}{12}[/tex] miles
The path is [tex]1\frac{5}{12}[/tex] miles long.