According to the information given in the exercise, the movie is 3 hours long. and he has watched this part of it:
![(1)/(6)](https://img.qammunity.org/2023/formulas/mathematics/high-school/s2sdjtchslkb90he84q1tkyhaenfcyiyvp.png)
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:
![(a)/(b)](https://img.qammunity.org/2023/formulas/mathematics/college/g8sir66zlcc8xwmqjmo76p2u42j0ie751n.png)
Where "a" is the numerator and "b" is the denominator.
- To multiply fractions the procedure is:
![(a)/(b)\cdot(c)/(d)=(ac)/(bd)](https://img.qammunity.org/2023/formulas/mathematics/high-school/vpe4ktrmyhazp2q9kandwx1rhfcwrp4eul.png)
Then, knowing the above, you can rewrite 3 hours as following:
![3hr=(3)/(1)hr](https://img.qammunity.org/2023/formulas/mathematics/college/8ap1w3l5lurabzg3qs6msw23ylky9avn1k.png)
And multiplying it by the fraction of the movie he has watched, you get:
![((3)/(1))((1)/(6)movie)=(1)/(2)movie](https://img.qammunity.org/2023/formulas/mathematics/college/xf7gjh6dwuxs93zjgor5cia4ans6iik92w.png)
Then:
![(1)/(2)movie=30\min](https://img.qammunity.org/2023/formulas/mathematics/college/lv11a65mr3bk6qsc717zxifu91pthlado8.png)
Since he has watched 30 minutes of the movie and knowing that 1 hour has 60 minutes, you can determine that:
![30\min =(1)/(2)hr](https://img.qammunity.org/2023/formulas/mathematics/college/754lgsfas43r6w5ft4v6epi1c59nuwmtw5.png)
Therefore, the answer is:
![(1)/(2)hr](https://img.qammunity.org/2023/formulas/mathematics/college/xc54rwpogubpfr4cjku5tdacd9oobmh9se.png)