document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=322409>Question 322409</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is 8 divided by x-9 + 5 divided by x + 8 divided by x-9 + 5 divided by x.  The question is the length of a rectangle is 8 divided by x-9 while it width is 5 divided by x. Find the perimeter. I have tried everything and can't find the LCD, </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #230811 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=230811\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Garamond\" size=\"+2\">\r<BR>\n" );
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document.write( "First simplify things by multiplying each of the length and width expressions by 2 and then you only have to add two fractions.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ P(x)\ =\ \frac{16}{x\ -\ 9}\ +\ \frac{10}{x}\">\r<BR>\n" );
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document.write( "Your denominators are coprime, which is to say that they have no factors in common, therefore the LCD is simply the product of the two denominators, to wit <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x(x\ -\ 9)\">.  (It may be necessary, or simply aesthetic to multiply this out later on, but for now <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x(x\ -\ 9)\"> is a perfectly good representation of your LCD.\r<BR>\n" );
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document.write( "Multiply the entire sum by 1 in the form of the LCD divided by the LCD:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ P(x)\ =\ \frac{16x}{x(x\ -\ 9)}\ +\ \frac{10(x\ -\ 9)}{x(x\ -\ 9)}\ =\ \frac{26x\ -\ 90}{x(x\ -\ 9)}\">\r<BR>\n" );
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document.write( "Which can also be expressed as:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ P(x)\ =\  \frac{26x\ -\ 90}{x^2\ -\ 9x}\">\r<BR>\n" );
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document.write( "If you think that is prettier.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
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