document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=685076>Question 685076</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The numerator of a fraction is 4 less than its denominator.  If you add 1 to both the numerator and the denominator, the resulting fraction is equal to 2/3.  What is the original fraction? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #424325 by </B><A HREF=/tutors/aboutme.mpl?userid=funmath><B>funmath(2933)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=funmath><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=424325\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The numerator of a fraction is 4 less than its denominator.  If you add 1 to both the numerator and the denominator, the resulting fraction is equal to 2/3.  What is the original fraction?\r<BR>\n" );
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document.write( "<br> Let the denominator = x <br><BR>\n" );
document.write( "<br> Then the numerator is 4 less than that: x-4<br><BR>\n" );
document.write( "<br> If you add 1 to the denominator you have: x+1 <br><BR>\n" );
document.write( "<br> If you add one to the numerator you have: x-4+1 or x-3 <br><BR>\n" );
document.write( "So your algebraic equation is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-3%29%2F%28x%2B1%29=2%2F3 ALIGN=MIDDLE  ALT=\"%28x-3%29%2F%28x%2B1%29=2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Cross Multiply:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%28x-3%29=2%28x%2B1%29 ALIGN=MIDDLE  ALT=\"3%28x-3%29=2%28x%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x-9=2x%2B2 ALIGN=MIDDLE  ALT=\"3x-9=2x%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x-2x-9=2x-2x%2B2 ALIGN=MIDDLE  ALT=\"3x-2x-9=2x-2x%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-9=2 ALIGN=MIDDLE  ALT=\"x-9=2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-9%2B9=2%2B9 ALIGN=MIDDLE  ALT=\"x-9%2B9=2%2B9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=11 ALIGN=MIDDLE  ALT=\"x=11\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Your denominator is x=11<BR>\n" );
document.write( "Your numerator is: x-4=11-4=7<BR>\n" );
document.write( "The original fraction is: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%287%2F11%29 ALIGN=MIDDLE  ALT=\"highlight%287%2F11%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<br>Do a sanity check...if you add 1 to the numerator and denominator, does it indeed reduce to 2/3's?<br>\r<BR>\n" );
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document.write( "Happy Calculating! <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );