Algebra.Com's Answer #58499 by Edwin McCravy(20060)  You can put this solution on YOUR website! Add and write in simplest form: added to  \n" );
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document.write( "Write down what you're adding something to, namely,\r\n" );
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document.write( "and then add to it what you're asked to add to it. That is you write\r\n" );
document.write( "+ after it, so you have:\r\n" );
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document.write( " + \r\n" );
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document.write( "Now you factor the denominators:\r\n" );
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document.write( " + \r\n" );
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document.write( "The LCD must contain each factor as many times as\r\n" );
document.write( "it occurs in any ONE denominator. Each of those\r\n" );
document.write( "factors , , and \r\n" );
document.write( "occurs no more than once in any ONE denominator,\r\n" );
document.write( "so the LCD will contain them all just ONCE:\r\n" );
document.write( "LCD = .\r\n" );
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document.write( "Now look at the first fraction you are to add.\r\n" );
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document.write( "Ask yourself: \"What factor does that denominator need\r\n" );
document.write( "in order to become the LCD of ?\r\n" );
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document.write( "You look and see that it is lacking the factor \r\n" );
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document.write( "So you stick on a factor in the top and the\r\n" );
document.write( "bottom like this:\r\n" );
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document.write( "Now you do the same with the second fraction you are to add:\r\n" );
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document.write( "Ask yourself: \"What factor does that denominator need\r\n" );
document.write( "in order to become the LCD of ?\r\n" );
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document.write( "You look and see that it is lacking the factor \r\n" );
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document.write( "So you stick on a factor in the top and the\r\n" );
document.write( "bottom like this:\r\n" );
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document.write( "Now put a + sign between them again:\r\n" );
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document.write( " + \r\n" );
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document.write( "Multiply the tops out but DO NOT multiply the bottoms out.\r\n" );
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document.write( " + \r\n" );
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document.write( "Since the denominators are the same LCD (except for the\r\n" );
document.write( "order of factors which doesn't matter) you can combine the\r\n" );
document.write( "numerators over the LCD, using the same sign between them \r\n" );
document.write( "as the sign between the fractions:\r\n" );
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document.write( "Remove the parentheses in the top\r\n" );
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document.write( "Combine like terms in the top:\r\n" );
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document.write( "Factor out in the top:\r\n" );
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document.write( "Cancel the 's in the top and bottom,\r\n" );
document.write( "and that leaves just this:\r\n" );
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document.write( "If you like you can multiply the bottom out,\r\n" );
document.write( "and leave it as\r\n" );
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document.write( "but that is not necessary.\r\n" );
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document.write( "Edwin \n" );
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