SOLUTION: Round off 1h 38m 48s to the nearest 1/4hour

Question 1145444: Round off 1h 38m 48s to the nearest 1/4hour
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
1 hour 38 minutes 48 seconds rounded to the nearest quarter hour can be done as follows.

it could be 1 hour 30 minutes or it could be 1 hour 45 minutes.

a simple way to do this is to convert hours minutes seconds to hours.

you do this by dividing the seconds by 60 to get minutes and then dividing by 60 again to get hours.

in other words, minutes divided by 60 = hours and seconds divided by 60^2 = 3600 = hours.

therefore 1 hour 38 minutes 48 seconds would equal to 1 plus 38 / 60 plus 48 / 3600 = 1.64666666..... hours.

1 hour 30 minutes = 1 plus 30 / 60 = 1.5 hours.

1 hour 45 minutes = 1 plus 45 / 60 = 1.75 hours.

halfway between 1 hour 30 minutes and 1 hour 45 minutes would be equal to (1.5 + 1.75) / 2 = 1.625 hours.

since 1.64666666...... hours is more than that, then rounded to the nearest
quarter hour would be 1.75 hours.

another way would be as follows:

the nearest quarter hour would be either 1 hour 30 minutes or 1 hour 45 minutes.

1 hour 38 minutes 48 seconds minus 1 hour 30 minutes would be equal to 8 minutes 48 seconds.

1 hour 45 minutes minus 1 hour 30 minutes is equal to 15 minutes.

15 minutes / 2 = 7.5 minutes.

8 minutes 48 seconds is greater than that, therefore 1 hour 38 minutes 48 seconds is closer to 1 hour 45 minutes which then becomes the rounded number.

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