document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=85429>Question 85429</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Simplify:  x+2/x / x-2/3x </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #61619 by </B><A HREF=/tutors/aboutme.mpl?userid=praseenakos@yahoo.com><B>praseenakos@yahoo.com(507)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=praseenakos@yahoo.com><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=praseenakos@yahoo.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=61619\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Question:\r<BR>\n" );
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document.write( "Simplify:  x+2/x / x-2/3x\r<BR>\n" );
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document.write( "Answer:\r<BR>\n" );
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document.write( "Your question is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28%28x%2B2%29%2Fx%29++%2F+%28%28x-2%29%2F3x%29+ ALIGN=MIDDLE  ALT=\"+%28%28x%2B2%29%2Fx%29++%2F+%28%28x-2%29%2F3x%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "When you divide a rational expression by another rational expression, take the reciprocal of the divisor and then multiply it with the dividend...\r<BR>\n" );
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document.write( "Here dividend is  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x%2B2%29%2Fx%29 ALIGN=MIDDLE  ALT=\"%28%28x%2B2%29%2Fx%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Divisor is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28%28x-2%29%2F3x%29+ ALIGN=MIDDLE  ALT=\"+%28%28x-2%29%2F3x%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Reciprocal of divisor is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%283x%2F%28x-2%29%29 ALIGN=MIDDLE  ALT=\"+%283x%2F%28x-2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Then,\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28%28x%2B2%29%2Fx%29++%2F+%28%28x-2%29%2F3x%29+ ALIGN=MIDDLE  ALT=\"+%28%28x%2B2%29%2Fx%29++%2F+%28%28x-2%29%2F3x%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x%2B2%29%2Fx%29 ALIGN=MIDDLE  ALT=\"%28%28x%2B2%29%2Fx%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > * <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283x%2F%28x-2%29%29 ALIGN=MIDDLE  ALT=\"%283x%2F%28x-2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Here you can see that one 'x' is common in both the numerator and the denominator....so they will get cancelled......\r<BR>\n" );
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document.write( "==> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x%2B2%29%2F1%29 ALIGN=MIDDLE  ALT=\"%28%28x%2B2%29%2F1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > * <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%2F%28x-2%29%29 ALIGN=MIDDLE  ALT=\"%283%2F%28x-2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "further simplication is notpossible.....so the answer is....\r<BR>\n" );
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document.write( "Hope you found the explanation useful....\r<BR>\n" );
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document.write( "Regards.\r<BR>\n" );
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document.write( "Praseena.\r<BR>\n" );
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