document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=120469>Question 120469</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Simplify<BR>\n" );
document.write( "3 divided x-5   plus 1 <BR>\n" );
document.write( "OVER<BR>\n" );
document.write( "1 -   4 divided by x-5\r<BR>\n" );
document.write( "\n" );
document.write( "Any help would be great! <BR>\n" );
document.write( "Thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #88304 by </B><A HREF=/tutors/aboutme.mpl?userid=tutor_paul><B>tutor_paul(519)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=tutor_paul><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/cgi-bin/show-face.mpl?user=tutor_paul><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=88304\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hopefully, this is what your problem looks like:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%283%2F%28x-5%29%29%2B1%29%2F%281-%284%2F%28x-5%29%29%29 ALIGN=MIDDLE  ALT=\"%28%283%2F%28x-5%29%29%2B1%29%2F%281-%284%2F%28x-5%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "the first step is to rationalize the denominators. To do this, multiply the numerator and denominator by the \"Least Common\" of the sub-denominators. In this case, that LCD is x-5. Multiplying top and bottom by x-5 gives:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%2Bx-5%29%2F%28x-5-4%29 ALIGN=MIDDLE  ALT=\"%283%2Bx-5%29%2F%28x-5-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Simplify a little and you are done:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28%28x-2%29%2F%28x-9%29%29 ALIGN=MIDDLE  ALT=\"highlight%28%28x-2%29%2F%28x-9%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "=========================<BR>\n" );
document.write( "Good Luck,<BR>\n" );
document.write( "tutor_paul@yahoo.com<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );