document.write( "Question 74114: 8 qt/min=___gal/h \n" ); document.write( "
Algebra.Com's Answer #53119 by Edwin McCravy(20055)\"\" \"About 
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document.write( "8 qt/min=___gal/h\r\n" );
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document.write( "Start out with this fraction\r\n" );
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document.write( " 8 qt\r\n" );
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document.write( " 1 min\r\n" );
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document.write( "Now we need to cancel away the \"qt\" in the top.\r\n" );
document.write( "We use the fact that 4 qt = 1 gal, to create\r\n" );
document.write( "a fraction which equals 1 to multiply that\r\n" );
document.write( "by, which has \"qt\" on the bottom to cancel \r\n" );
document.write( "away the \"qt\" in the top.\r\n" );
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document.write( "Such a fraction is\r\n" );
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document.write( " 1 gal\r\n" );
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document.write( " 4 qt\r\n" );
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document.write( "so we multiply by that:\r\n" );
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document.write( "  8 qt      1 gal\r\n" );
document.write( "------- × --------\r\n" );
document.write( " 1 min      4 qt\r\n" );
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document.write( "And then the \"qt\"'s cancel out:\r\n" );
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document.write( "    1\r\n" );
document.write( "  8 qt     1 gal\r\n" );
document.write( "------- × --------\r\n" );
document.write( " 1 min      4 qt\r\n" );
document.write( "              1\r\n" );
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document.write( "Next we need to create another \r\n" );
document.write( "fraction that equals 1 to \r\n" );
document.write( "cancel away the \"min\" in the \r\n" );
document.write( "bottom of the first fraction.\r\n" );
document.write( "We know that 60 min = 1 h, so \r\n" );
document.write( "we create the fraction \r\n" );
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document.write( " 60 min\r\n" );
document.write( "--------\r\n" );
document.write( "  1 h\r\n" );
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document.write( "to multiply by. Notice we\r\n" );
document.write( "put \"min\" in the top to\r\n" );
document.write( "cancel away the \"min\" in\r\n" );
document.write( "the bottom in the first\r\n" );
document.write( "fraction. So now we have:\r\n" );
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document.write( "    1\r\n" );
document.write( "  8 qt     1 gal     60 min \r\n" );
document.write( "------- × -------- × --------\r\n" );
document.write( " 1 min     4 qt       1 h\r\n" );
document.write( "             1\r\n" );
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document.write( "Now the \"min\"'s cancel out\r\n" );
document.write( "like so\r\n" );
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document.write( "    1\r\n" );
document.write( "  8 qt     1 gal     60 min \r\n" );
document.write( "------- × -------- × --------\r\n" );
document.write( " 1 min     4 qt       1 h\r\n" );
document.write( "             1\r\n" );
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document.write( "Now all the units have canceled\r\n" );
document.write( "except \"gal\" in the top and \"h\"\r\n" );
document.write( "in the bottom, which are the \r\n" );
document.write( "units we want, so we have\r\n" );
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document.write( "  8×60 gal\r\n" );
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document.write( "   4 h\r\n" );
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document.write( "Now we can cancel the 4 into the 8 and get 2\r\n" );
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document.write( "  2\r\n" );
document.write( "  8×60 gal\r\n" );
document.write( "------------\r\n" );
document.write( "   4 h\r\n" );
document.write( "   1\r\n" );
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document.write( "So we end up with\r\n" );
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document.write( " 2×60 gal\r\n" );
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document.write( "   1 h\r\n" );
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document.write( "or \r\n" );
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document.write( "120 gal/h\r\n" );
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document.write( "Edwin
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