Answer :
To find the time that is [tex]\( \frac{53}{4} \)[/tex] hours after 11:32 PM, follow these steps:
1. Convert the Fraction to a Decimal:
Start by dividing 53 by 4 to find the number of hours to add.
[tex]\[
\frac{53}{4} = 13.25
\][/tex]
So, you need to add 13.25 hours.
2. Break Down the Decimal Part:
The decimal 13.25 can be separated into:
- 13 hours
- 0.25 hours (which is equivalent to 15 minutes since 0.25 [tex]\(\times\)[/tex] 60 = 15)
3. Add the Hours and Minutes to the Starting Time:
- Start with 11:32 PM.
- First, add the 13 whole hours to 11:32 PM:
- Adding 13 hours to 11:32 PM takes you to 12:32 PM the next day (as there are 12 hours from 11:32 PM to 11:32 AM, and an additional hour to reach 12:32 PM).
- Next, add the 15 minutes:
- 12:32 PM + 15 minutes = 12:47 PM.
Therefore, [tex]\( \frac{53}{4} \)[/tex] hours after 11:32 PM is 12:47 PM.
1. Convert the Fraction to a Decimal:
Start by dividing 53 by 4 to find the number of hours to add.
[tex]\[
\frac{53}{4} = 13.25
\][/tex]
So, you need to add 13.25 hours.
2. Break Down the Decimal Part:
The decimal 13.25 can be separated into:
- 13 hours
- 0.25 hours (which is equivalent to 15 minutes since 0.25 [tex]\(\times\)[/tex] 60 = 15)
3. Add the Hours and Minutes to the Starting Time:
- Start with 11:32 PM.
- First, add the 13 whole hours to 11:32 PM:
- Adding 13 hours to 11:32 PM takes you to 12:32 PM the next day (as there are 12 hours from 11:32 PM to 11:32 AM, and an additional hour to reach 12:32 PM).
- Next, add the 15 minutes:
- 12:32 PM + 15 minutes = 12:47 PM.
Therefore, [tex]\( \frac{53}{4} \)[/tex] hours after 11:32 PM is 12:47 PM.