Question

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 1

`(5)/(24)`

Explanation:

• Time Spent Sleeping=7 hours
• Time Spent Studying=
  `(1)/(4)` of the day
• Time Spent Travelling=
  `(1)/(4)` of the day

There are 24 hours in a day, therefore:

• Time Spent Studying=
  `(1)/(4)` X 24 =6 Hours
• Time Spent Travelling=
  `(1)/(4)` 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=
`(5)/(24)`