According to the information given in the exercise, the movie is 3 hours long. and he has watched this part of it:
[tex]\frac{1}{6}[/tex]Then, in order to find what fraction of one hour he spent watching that movie, you need to remember the following:
-A fraction has this form:
[tex]\frac{a}{b}[/tex]Where "a" is the numerator and "b" is the denominator.
- To multiply fractions the procedure is:
[tex]\frac{a}{b}\cdot\frac{c}{d}=\frac{ac}{bd}[/tex]Then, knowing the above, you can rewrite 3 hours as following:
[tex]3hr=\frac{3}{1}hr[/tex]And multiplying it by the fraction of the movie he has watched, you get:
[tex](\frac{3}{1})(\frac{1}{6}movie)=\frac{1}{2}movie[/tex]Then:
[tex]\frac{1}{2}movie=30\min [/tex]Since he has watched 30 minutes of the movie and knowing that 1 hour has 60 minutes, you can determine that:
[tex]30\min =\frac{1}{2}hr[/tex]Therefore, the answer is:
[tex]\frac{1}{2}hr[/tex]