document.write( "Question 75085: how do you simplify the complex fraction
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Algebra.Com's Answer #53948 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Write the \"4\" as \"4%2F1\" so everything\r\n" );
document.write( "will be a fraction.\r\n" );
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document.write( "Then put parentheses around the top and the bottom:\r\n" );
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document.write( "\"%28%284%2F1%2B2%2Fx%29%29%2F%28%28x%2F4%2B1%2F8%29%29\"\r\n" );
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document.write( "The four denominators are 1, x, 4, and 8\r\n" );
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document.write( "The LCD of those is 8x, so multiply by the\r\n" );
document.write( "fraction \"8x%2F%288x%29\" but write it as\r\n" );
document.write( "\"%288x%2F1%29%2F%288x%2F1%29\"\r\n" );
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document.write( "So now we have\r\n" );
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document.write( "\"%288x%2F1%29%2F%288x%2F1%29\"·\"%28%284%2F1%2B2%2Fx%29%29%2F%28%28x%2F4%2B1%2F8%29%29\"\r\n" );
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document.write( "Now remove the parentheses by distributing on the \r\n" );
document.write( "top and bottom:\r\n" );
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document.write( "Cancel what will cancel and you have:\r\n" );
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document.write( "\"%2832x%2B16%29%2F%282x%5E2%2Bx%29\"\r\n" );
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document.write( "Now factor 16 out of the top and x out of the bottom:\r\n" );
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document.write( "\"%2816%282x%2B1%29%29%2F%28x%282x%2B1%29%29\"\r\n" );
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document.write( "Cancel the \"%282x%2B1%29%29\"'s and all that's left is\r\n" );
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document.write( "\"16%2Fx\"\r\n" );
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document.write( "Edwin
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