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Answer :
To convert the given time of 1 hour, 18 minutes, and 45 seconds into decimal hours, follow these steps:
1. Convert Seconds to Minutes:
- First, we need to convert the seconds into a fraction of a minute.
- There are 60 seconds in a minute, so divide 45 seconds by 60.
- [tex]\( \frac{45}{60} = 0.75 \)[/tex] minutes.
2. Add Converted Seconds to Minutes:
- Next, add the 0.75 minutes obtained from the seconds to the existing 18 minutes.
- [tex]\( 18 + 0.75 = 18.75 \)[/tex] minutes in total.
3. Convert Total Minutes to Decimal Hours:
- Now, convert the total minutes into a fraction of an hour.
- There are 60 minutes in an hour, so divide 18.75 minutes by 60.
- [tex]\( \frac{18.75}{60} = 0.3125 \)[/tex] hours.
4. Combine with Hours:
- Add this result to the original 1 hour to get the total time in decimal hours.
- [tex]\( 1 + 0.3125 = 1.3125 \)[/tex] hours.
5. Round the Decimal Hours:
- Finally, round the decimal hours to two decimal places for precision.
- The rounded result is [tex]\( 1.31 \)[/tex].
Therefore, 1 hour, 18 minutes, and 45 seconds is approximately 1.31 hours when converted to decimal hours.
1. Convert Seconds to Minutes:
- First, we need to convert the seconds into a fraction of a minute.
- There are 60 seconds in a minute, so divide 45 seconds by 60.
- [tex]\( \frac{45}{60} = 0.75 \)[/tex] minutes.
2. Add Converted Seconds to Minutes:
- Next, add the 0.75 minutes obtained from the seconds to the existing 18 minutes.
- [tex]\( 18 + 0.75 = 18.75 \)[/tex] minutes in total.
3. Convert Total Minutes to Decimal Hours:
- Now, convert the total minutes into a fraction of an hour.
- There are 60 minutes in an hour, so divide 18.75 minutes by 60.
- [tex]\( \frac{18.75}{60} = 0.3125 \)[/tex] hours.
4. Combine with Hours:
- Add this result to the original 1 hour to get the total time in decimal hours.
- [tex]\( 1 + 0.3125 = 1.3125 \)[/tex] hours.
5. Round the Decimal Hours:
- Finally, round the decimal hours to two decimal places for precision.
- The rounded result is [tex]\( 1.31 \)[/tex].
Therefore, 1 hour, 18 minutes, and 45 seconds is approximately 1.31 hours when converted to decimal hours.
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