document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=237247>Question 237247</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Evaluate: (a-b)/ab + (b-c)/bc + (c-a)/ca </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #174467 by </B><A HREF=/tutors/aboutme.mpl?userid=rapaljer><B>rapaljer(4671)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rapaljer><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=rapaljer><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=174467\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First find the LCD for the problem, which is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abc ALIGN=MIDDLE  ALT=\"abc\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a-b%29%2F%28ab%29+%2B+%28b-c%29%2F%28bc%29+%2B+%28c-a%29%2F%28ca%29 ALIGN=MIDDLE  ALT=\"%28a-b%29%2F%28ab%29+%2B+%28b-c%29%2F%28bc%29+%2B+%28c-a%29%2F%28ca%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "In the first fraction, you have a denominator of (ab), so you need to multiply by c/c.  In the second fraction, you must multiply by a/a, and the third fraction multiply by b/b:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28a-b%29%2F%28ab%29%29%2A%28c%2Fc%29+%2B+%28%28b-c%29%2F%28bc%29%29%2A%28a%2Fa%29+%2B+%28%28c-a%29%2F%28ca%29%29%2A%28b%2Fb%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now, multiply the numerators out, and place over the LCD, which is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abc ALIGN=MIDDLE  ALT=\"abc\"   DISABLED_style= \"max-width:90%; height:auto;\" >:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28c%28a-b%29+%2Ba%28b-c%29+%2Bb%28c-a%29%29%2F%28abc%29 ALIGN=MIDDLE  ALT=\"+%28c%28a-b%29+%2Ba%28b-c%29+%2Bb%28c-a%29%29%2F%28abc%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28ac-bc+%2Bab-ac+%2Bbc+-+ab%29%2F%28abc%29+ ALIGN=MIDDLE  ALT=\"%28ac-bc+%2Bab-ac+%2Bbc+-+ab%29%2F%28abc%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The entire numerator subtracts out, which  leaves a numerator of 0.  <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0%2F%28abc%29 ALIGN=MIDDLE  ALT=\"0%2F%28abc%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0 ALIGN=MIDDLE  ALT=\"0\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "VERY NICE PROBLEM!!!  \r<BR>\n" );
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document.write( "Dr. Robert J. Rapalje, Retired<BR>\n" );
document.write( "Seminole State College of Florida<BR>\n" );
document.write( "Altamonte Springs Campus </SPAN>\n" );
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