document.write( "Question 1145444: Round off 1h 38m 48s to the nearest 1/4hour \n" ); document.write( "
Algebra.Com's Answer #766674 by Theo(13342)![]() ![]() 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.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "it could be 1 hour 30 minutes or it could be 1 hour 45 minutes.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "a simple way to do this is to convert hours minutes seconds to hours.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you do this by dividing the seconds by 60 to get minutes and then dividing by 60 again to get hours.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "in other words, minutes divided by 60 = hours and seconds divided by 60^2 = 3600 = hours.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "therefore 1 hour 38 minutes 48 seconds would equal to 1 plus 38 / 60 plus 48 / 3600 = 1.64666666..... hours.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "1 hour 30 minutes = 1 plus 30 / 60 = 1.5 hours.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "1 hour 45 minutes = 1 plus 45 / 60 = 1.75 hours.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "halfway between 1 hour 30 minutes and 1 hour 45 minutes would be equal to (1.5 + 1.75) / 2 = 1.625 hours.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "since 1.64666666...... hours is more than that, then rounded to the nearest \n" ); document.write( "quarter hour would be 1.75 hours.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "another way would be as follows:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the nearest quarter hour would be either 1 hour 30 minutes or 1 hour 45 minutes.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "1 hour 38 minutes 48 seconds minus 1 hour 30 minutes would be equal to 8 minutes 48 seconds.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "1 hour 45 minutes minus 1 hour 30 minutes is equal to 15 minutes.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "15 minutes / 2 = 7.5 minutes.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "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.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |