Answer:
[tex]\frac{7}{12}[/tex] of an hour is remaining for Mariko's social studies class
Step-by-step explanation:
Given:
Total duration of Mariko's social studies class = 5/6 of an hour.
Only 3/12 of an hour has passed.
To Find:
Fraction of an hour remains for Mariko's social studies class =?
Solution:
Converting into minutes
5/6 of an hour = [tex]\frac{5}{6} \times (60)[/tex]
=>[tex]\frac{300}{6}[/tex]
=>50 minutes
So the total duration of Mariko's social studies = 50 minutes
If 3/12 of an hour passes means
Converting into minutes
=>[tex]\frac{3}{12} \times 60[/tex]
=>[tex]\frac{180}{12}[/tex]
=>[tex]\frac{180}{12}[/tex]
=> 15 minutes
15 minutes has passed
Remaining time left is
50 minutes - 15 minutes = 35 minutes left
Now converting into 35 minutes into hours we get
=> [tex]\frac{35}{60}[/tex]
=>[tex]\frac{7}{12}[/tex]
