document.write( "Question 1029995: find the largest value of the fraction A-B/A+B where A and B lies between 1 to 50 \n" ); document.write( "

Algebra.Com's Answer #644911 by Edwin McCravy(20064) $\"\"$ $\"About$

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document.write( "When it is necessary to type algebra all on one line,\r\n" );
document.write( "then you MUST have parentheses around the numerator and\r\n" );
document.write( "denominator to show where the numerator and denominator\r\n" );
document.write( "begin and end.\r\n" );
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document.write( "So you should have typed (A-B)/(A+B) not A-B/A+B\r\n" );
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document.write( "In other words, you want , not ,\r\n" );
document.write( "for without parentheses, A-B/A+B is taken to mean \r\n" );
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document.write( "The largest value of  is when the numerator\r\n" );
document.write( "is as large as possible and the denominator is as small as\r\n" );
document.write( "possible. This is when A is 50 and B is 1.\r\n" );
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document.write( "So the largest value of  is when A=50 and B=1, or\r\n" );
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document.write( "However if the problem were the largest value of A-B/A+B, as you \r\n" );
document.write( "typed it above, the largest value would be 50-50/50-50 =  = 50-1+50 = 99.\r\n" );
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document.write( "Parentheses are always necessary when algebra is typed all on one line.\r\n" );
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document.write( "Edwin

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