document.write( "Question 1094843: the numerator of a fraction is one less than its denominator .if three is added to each of the numerator & denominator, the fraction is increased by 3/28. find its fraction \n" ); document.write( "
Algebra.Com's Answer #709420 by Edwin McCravy(20065)\"\" \"About 
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the numerator of a fraction is one less than its denominator .
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document.write( "Denominator = D\r\n" );
document.write( "Numerator = D-1\r\n" );
document.write( "Original Fraction = \"%28D-1%29%2FD\"\r\n" );
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\n" ); document.write( "if three is added to each of the numerator & denominator,
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document.write( "New fraction = \"%28D-1%2Bred%283%29%29%2F%28D%2Bred%283%29%29\" or \"%28D%2B2%29%2F%28D%2B3%29\"\r\n" );
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\n" ); document.write( "the fraction is increased by 3/28.
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document.write( "So also, New fraction = Original fraction + \"3%2F28\" or \"D%2F%28D-1%29%2B3%2F28\" \r\n" );
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document.write( "So we set the two expressions for the New fraction equal:\r\n" );
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document.write( "\"%28D%2B2%29%2F%28D%2B3%29\"\"%22%22=%22%22\"\"%28D-1%29%2FD%2B3%2F28\"\r\n" );
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document.write( "LCD = 28D(D+3)\r\n" );
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document.write( "\"28D%28D%2B2%29\"\"%22%22=%22%22\"\"28%28D%2B3%29%28D-1%29%2B3D%28D%2B3%29\"\r\n" );
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document.write( "Solve that and get D=4 and D=-7\r\n" );
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document.write( "Only the positive answer works.  Fraction = 3/4\r\n" );
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document.write( "Edwin
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