Respuesta :

Answer:

[tex]\dfrac{5}{24}[/tex]

Step-by-step explanation:

  • Time Spent Sleeping=7  hours
  • Time Spent Studying=[tex]\frac{1}{4}[/tex] of the day
  • Time Spent Travelling=[tex]\frac{1}{4}[/tex] of the day

There are 24 hours in a day, therefore:

  • Time Spent Studying=[tex]\frac{1}{4}[/tex] X 24 =6 Hours
  • Time Spent Travelling=[tex]\frac{1}{4}[/tex] X 24 =6 Hours

The total hour used for sleeping, studying and travelling=7+6+6=19 hours

Hours used for other things=24-19=5 hours

Therefore, the fraction of the day used for other things=[tex]\dfrac{5}{24}[/tex]

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