document.write( "Question 627200: Reduce each fraction to lowest term.\r
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Algebra.Com's Answer #394869 by Edwin McCravy(20056) $\"\"$ $\"About$

You can put this solution on YOUR website!
Reduce each fraction to lowest term.
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document.write( "abx - 2aby\r\n" );
document.write( "覧覧覧覧覧 = \r\n" );
document.write( "  2y - x\r\n" );
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document.write( "Factor out ab in the numerator:\r\n" );
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document.write( "ab(x - 2y)\r\n" );
document.write( "覧覧覧覧覧 = \r\n" );
document.write( "  2y - x\r\n" );
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document.write( "Notice that the x - 2y in the top and the 2y -x in the bottom are\r\n" );
document.write( "similar but not the same.  Here is what we do with the 2y - x to the side:\r\n" );
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document.write( "                                      2y - x\r\n" );
document.write( "                Reverse the terms    -x + 2y\r\n" );
document.write( "                Rewrite -x as -1x   -1x + 2y\r\n" );
document.write( "                Factor out -1      -1(x - 2y)\r\n" );
document.write( "Substitute that for the denominator:\r\n" );
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document.write( " ab(x - 2y)\r\n" );
document.write( "覧覧覧覧覧覧 = \r\n" );
document.write( " -1(x - 2y)\r\n" );
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document.write( "Now cancel the (x - 3y)'s\r\n" );
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document.write( " ab(x - 2y)\r\n" );
document.write( "覧覧覧覧覧覧 = \r\n" );
document.write( " -1(x - 2y)\r\n" );
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document.write( "All that's left is\r\n" );
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document.write( " ab\r\n" );
document.write( "覧覧  \r\n" );
document.write( " -1   \r\n" );
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document.write( "which equals\r\n" );
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document.write( "-ab\r\n" );
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document.write( "Edwin

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