document.write( "Question 1148005: The denominator of the fraction is 2 more than the numerator. If 1 is subtracted
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document.write( "from the numerator and 2 is added to the denominator the numerator becomes half
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document.write( "of the denominator find the fraction. \n" );
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Algebra.Com's Answer #769360 by Edwin McCravy(20056)![]() ![]() You can put this solution on YOUR website! The denominator of the fraction is 2 more than the numerator \r\n" ); document.write( "\r\n" ); document.write( "D = N + 2\r\n" ); document.write( " \n" ); document.write( "If 1 is subtracted from the numerator \n" ); document.write( " \r\n" ); document.write( "NEW numerator = N-1\r\n" ); document.write( " \n" ); document.write( "and 2 is added to the denominator \n" ); document.write( " \r\n" ); document.write( "NEW denominator = D+2\r\n" ); document.write( " \n" ); document.write( "the (NEW) numerator becomes half of the (NEW) denominator. \n" ); document.write( " \r\n" ); document.write( "NEW numerator = N-1 = (1/2)(D+2) \r\n" ); document.write( "\r\n" ); document.write( "Multiply both sides by 2:\r\n" ); document.write( "\r\n" ); document.write( " 2(N-1) = 2(1/2)(D+2)\r\n" ); document.write( " 2N-2 = D+2\r\n" ); document.write( " 2N-D = 4\r\n" ); document.write( "\r\n" ); document.write( "So we have the system of two equations in two unknowns:\r\n" ); document.write( "\r\n" ); document.write( " \n" ); document.write( "find the fraction. \n" ); document.write( " \r\n" ); document.write( "Put the original numerator, the value of N, over D, the\r\n" ); document.write( "value of the denominator. DO NOT REDUCE THE FRACTION!!!\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |