document.write( "Question 51885This question is from textbook college algebra
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please help me...thank you. \r\n" );
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document.write( "A U.S. quart = 0.946 liter. If 355 mL of water weighs \r\n" );
document.write( "12 ounces, how many ounces does 1 qt weigh?____ oz
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Algebra.Com's Answer #34596 by AnlytcPhil(1810)\"\" \"About 
You can put this solution on YOUR website!
please help me...thank you. \r\n" );
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document.write( "A U.S. quart = 0.946 Liter. If 355 mL of water weighs \r\n" );
document.write( "12 ounces, how many ounces does 1 qt weigh?____ oz\r\n" );
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document.write( "We want to change oz per mL to oz per qt.  We start \r\n" );
document.write( "by putting 12 oz over 355 mL.\r\n" );
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document.write( " 12 oz\r\n" );
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document.write( " 355 mL\r\n" );
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document.write( "We want to multiply this by a second fraction that \r\n" );
document.write( "will cancel away the milliLiters in the bottom of\r\n" );
document.write( "the first fraction and bring in Liters. \r\n" );
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document.write( "This fraction we multiply it by must equal to 1, \r\n" );
document.write( "since multiplying by 1 does not change the original \r\n" );
document.write( "value.\r\n" );
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document.write( "For a fraction to equal to 1, its numerator and \r\n" );
document.write( "denominator must be equal.\r\n" );
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document.write( "We know that 1000 mL = 1 Liter, so our fraction \r\n" );
document.write( "which equals 1 will have its numerator be one of \r\n" );
document.write( "these and its denominator be the other.\r\n" );
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document.write( "We will choose to put 1000 mL in the numerator so \r\n" );
document.write( "that the mL's will cancel with the mL in the \r\n" );
document.write( "denominator of the first fraction:\r\n" );
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document.write( " 12 oz\r\n" );
document.write( "--------\r\n" );
document.write( " 355 mL  \r\n" );
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document.write( "So we multiply that by the fraction\r\n" );
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document.write( " 1000 mL\r\n" );
document.write( "---------\r\n" );
document.write( "   1 L \r\n" );
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document.write( "which equals 1 because its numerator and \r\n" );
document.write( "denominator are equal. So now we have this:\r\n" );
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document.write( " 12 oz      1000 mL\r\n" );
document.write( "-------- × ---------\r\n" );
document.write( " 355 mL       1 L \r\n" );
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document.write( "Notice that the mL in the bottom of the first \r\n" );
document.write( "fraction will now cancel with the mL in the \r\n" );
document.write( "top of the second fraction.\r\n" );
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document.write( "Now we want to multiply by a third fraction \r\n" );
document.write( "which equals 1, i.e., one which has its \r\n" );
document.write( "numerator and denominator equal.\r\n" );
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document.write( "We are told above that 1 qt = 0.946 L, so our \r\n" );
document.write( "third fraction which equals 1 will have its \r\n" );
document.write( "numerator be one of these and its denominator \r\n" );
document.write( "be the other.\r\n" );
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document.write( "We will choose to put 0.946 L in the top of \r\n" );
document.write( "this third fraction so that the L will cancel \r\n" );
document.write( "with the L in the bottom of the second\r\n" );
document.write( "fraction:\r\n" );
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document.write( " 1000 mL\r\n" );
document.write( "--------\r\n" );
document.write( "   1 L  \r\n" );
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document.write( "So we multiply also by the fraction\r\n" );
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document.write( " 0.946 L\r\n" );
document.write( "---------\r\n" );
document.write( "   1 qt \r\n" );
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document.write( "which equals 1 because its numerator and denominator \r\n" );
document.write( "are equal. So now we have this:\r\n" );
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document.write( "                  1           1  \r\n" );
document.write( " 12 oz      1000 mL     0.946 L \r\n" );
document.write( "-------- × --------- × ---------\r\n" );
document.write( " 355 mL       1 L         1 qt\r\n" );
document.write( "      1         1\r\n" );
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document.write( "Notice that the L in the bottom of the second \r\n" );
document.write( "fraction will now cancel with the L in the top of \r\n" );
document.write( "the third fraction.\r\n" );
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document.write( "Now we are ready to cancel the mL's and the L's\r\n" );
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document.write( "                  1           1 \r\n" );
document.write( " 12 oz      1000 mL     0.946 L \r\n" );
document.write( "-------- × --------- × ---------\r\n" );
document.write( " 355 mL       1 L         1 qt\r\n" );
document.write( "      1         1\r\n" );
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document.write( "So we are left with only \"oz\" and numbers to \r\n" );
document.write( "multiply on top and a number and \"qt\" on the \r\n" );
document.write( "bottom:\r\n" );
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document.write( " 12 oz × 1000 × 0.946  \r\n" );
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document.write( "       355 qt\r\n" );
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document.write( "So we multiply 12×1000×0.946 on top and get\r\n" );
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document.write( " 11352 oz\r\n" );
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document.write( "  355 qt\r\n" );
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document.write( "Now we divide numerator and denominator by \r\n" );
document.write( "355 to get 1 qt in the bottom, so we have\r\n" );
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document.write( " 31.97746479 oz\r\n" );
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document.write( "     1 qt\r\n" );
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document.write( "That's interpreted as about 31.977 oz per \r\n" );
document.write( "1 qt.\r\n" );
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document.write( "So that's the answer.\r\n" );
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document.write( "Edwin McCravy

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