document.write( "Question 89644: simplify the complex fraction:\r
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Algebra.Com's Answer #65129 by Edwin McCravy(20059)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "simplify the complex fraction: \r\n" );
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document.write( "\"+%282%2Bm-3%2Fm%29%2F%28m%2F6+-+2%2Fm%29\"\r\n" );
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document.write( "Put 1 under the 2 and the m so that\r\n" );
document.write( "everything will be fractions:\r\n" );
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document.write( "\"+%282%2F1%2Bm%2F1-3%2Fm%29%2F%28m%2F6+-+2%2Fm%29\"\r\n" );
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document.write( "Put parentheses around every fraction in the\r\n" );
document.write( "top and in the bottom:\r\n" );
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document.write( "\"+%28+%282%2F1%29%2B%28m%2F1%29-%283%2Fm%29+%29%2F%28+%28m%2F6%29-%282%2Fm%29+%29+++\" \r\n" );
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document.write( "Look at all the denominators top \r\n" );
document.write( "and bottom: \"1\",\"1\",\"m\",\"6\",\"m\"\r\n" );
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document.write( "The LCD of all those is \"6m\",\r\n" );
document.write( "write that as \"%28%286m%29%2F1%29\" and multiply every term\r\n" );
document.write( "in both the top and the bottom by it:\r\n" );
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document.write( "Now cancel what will cancel and simplify:\r\n" );
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document.write( "\"%2812m%2B6m%5E2-18%29%2F%28m%5E2-12%29\"\r\n" );
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document.write( "That's probably as far as you need to go. You can\r\n" );
document.write( "arrange the numerator in descending order of powers\r\n" );
document.write( "of x.\r\n" );
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document.write( "\"%286m%5E2%2B12m-18%29%2F%28m%5E2-12%29\"\r\n" );
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document.write( "The top will factor by taking out a 6\r\n" );
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document.write( "\"%286%28m%5E2%2B2m-3%29%29%2F%28m%5E2-12%29\"\r\n" );
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document.write( "The top factors again,\r\n" );
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document.write( "\"%286%28m%2B3%29%28m-1%29%29%2F%28m%5E2-12%29\"\r\n" );
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document.write( "But since the bottom does not factor, there was\r\n" );
document.write( "no need to factor the top, because nothing\r\n" );
document.write( "cancels.\r\n" );
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document.write( "Edwin

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