During a day a student spends 7 hours sleeping, ¹/4 of the day studying and of the time travelling. What fraction of the day is left for other things?

Answer:[tex]\dfrac{5}{24}[/tex]Step-by-step explanation:Time Spent Sleeping=7  hoursTime Spent Studying=[tex]\frac{1}{4}[/tex] of the dayTime Spent Travelling=[tex]\frac{1}{4}[/tex] of the dayThere are 24 hours in a day, therefore: Time Spent Studying=[tex]\frac{1}{4}[/tex] X 24 =6 HoursTime Spent Travelling=[tex]\frac{1}{4}[/tex] X 24 =6 HoursThe total hour used for sleeping, studying and travelling=7+6+6=19 hoursHours used for other things=24-19=5 hoursTherefore, the fraction of the day used for other things=[tex]\dfrac{5}{24}[/tex]