The total length of the trip is 5/6 mile + 3/8 mile.
We just have to add up the fractions. So,
[tex]\frac{5}{6}+\frac{3}{8}[/tex]To add, we need the LCM.
The least common denominator is 24. So, let's add. See the process below:
[tex]\begin{gathered} \frac{5}{6}+\frac{3}{8} \\ \frac{5}{6}\times\frac{4}{4}+\frac{3}{8}\times\frac{3}{3} \\ \frac{20}{24}+\frac{9}{24} \\ \frac{20+9}{24} \\ \frac{29}{24} \end{gathered}[/tex]