document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=41451>Question 41451</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 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<BR>\n" );
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document.write( "This is what I have done :-\r<BR>\n" );
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document.write( "Let the denominator to be n\r<BR>\n" );
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document.write( "n–5/n and now add 1 to both the numerator and the denominator<BR>\n" );
document.write( "Therefore, n-5+1/n+1 = n-4/n+1=2/3<BR>\n" );
document.write( "n-4     2<BR>\n" );
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document.write( "n+1    3\r<BR>\n" );
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document.write( "3(n-4) = 2(n+1)<BR>\n" );
document.write( "3n-12 = 2n+2<BR>\n" );
document.write( "n=12+2<BR>\n" );
document.write( "n=14\r<BR>\n" );
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document.write( "Now n=14, thus denominator is n+1= 14 + 1 = 15 while numerator = n-4 = 14-4 = 10\r<BR>\n" );
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document.write( "Therefore, numerator = 10 and denominator = 15 but my teacher told us is 9 and 36 respectively instead. \r<BR>\n" );
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document.write( "I still don't really know where is / are my mistake(s). Please help.\r<BR>\n" );
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document.write( "Thank you so much. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #26738 by </B><A HREF=/tutors/aboutme.mpl?userid=askmemath><B>askmemath(368)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=askmemath><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=26738\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You started by saying that n is the denominator<BR>\n" );
document.write( "And so the numerator is n-5\r<BR>\n" );
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document.write( "Now when you solved you got the value of n = 14<BR>\n" );
document.write( "which means you have to substitute this back in the orginial equation not <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28n-4%29%2F%28n-1%29 ALIGN=MIDDLE  ALT=\"%28n-4%29%2F%28n-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > since this fraction has had a mathematical operation performed on it\r<BR>\n" );
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document.write( "So your numerator now is 14-5 = 9<BR>\n" );
document.write( "When you add 1 to the numerator 9+1 = 10<BR>\n" );
document.write( "Add 1 to the denominator = 14+1 = 15<BR>\n" );
document.write( "Ratio = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2F15+=+2%2F3 ALIGN=MIDDLE  ALT=\"10%2F15+=+2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Yay!! </SPAN>\n" );
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