To solve the exercise we are going to add the time that Logan spent studying vocabulary and the time that he spent studying spelling:
[tex]\begin{gathered} \frac{5}{6}\text{ hour }\Rightarrow\text{ time studying vocabulary} \\ \frac{1}{6}\text{ hour }\Rightarrow\text{ time studying spelling} \\ \frac{5}{6}+\frac{1}{6}\Rightarrow\text{ total time} \end{gathered}[/tex]Since these fractions have the same denominator, so to add them, leave the same denominator and add the numerators:
[tex]\begin{gathered} \frac{5}{6}+\frac{1}{6}=\frac{6}{6} \\ \text{ Simplifying} \\ \frac{6}{6}=1 \end{gathered}[/tex]Therefore, Logan spent 1 hour studying in total.