document.write( "Question 42231: Question\r
\n" ); document.write( "\n" ); document.write( "The numerator of a fraction is 5 less than the denominator. If 1 is added to both the numerator and the denominator, the fraction would become 2/3. Find the fraction.\r
\n" ); document.write( "\n" ); document.write( "This is what I have done :-\r
\n" ); document.write( "\n" ); document.write( "Let the denominator to be n\r
\n" ); document.write( "\n" ); document.write( "n–5/n and now add 1 to both the numerator and the denominator
\n" ); document.write( "Therefore, n-5+1/n+1 = n-4/n+1=2/3
\n" ); document.write( "n-4 2
\n" ); document.write( "___ = _
\n" ); document.write( "n+1 3\r
\n" ); document.write( "\n" ); document.write( "3(n-4) = 2(n+1)
\n" ); document.write( "3n-12 = 2n+2
\n" ); document.write( "n=12+2
\n" ); document.write( "n=14\r
\n" ); document.write( "\n" ); document.write( "Now n=14, thus denominator is n+1= 14 + 1 = 15 while numerator = n-4 = 14-4 = 10\r
\n" ); document.write( "\n" ); document.write( "Therefore, numerator = 10 and denominator = 15 but my teacher told us is 9 and 36 respectively instead. \r
\n" ); document.write( "\n" ); document.write( "Please help. Thank you. \n" ); document.write( "

Algebra.Com's Answer #27372 by fractalier(6550) $\"\"$ $\"About$

You can put this solution on YOUR website!
You are correct. The original fraction is 9/14.
\n" ); document.write( "If you add one to numerator and denominator, you get 10/15,
\n" ); document.write( "which of course equals 2/3. \n" ); document.write( "

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