document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=247175>Question 247175</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am very lost on this equation...can someone please help explain this to me. <BR>\n" );
document.write( "(x-7+5/x-1)/(x-3+1/x-1) do the denominators of x-1 cancel out???<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #180357 by </B><A HREF=/tutors/aboutme.mpl?userid=College+Student><B>College Student(505)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=College+Student><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=College+Student><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=180357\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Thank you for re-posting it.  I'm not sure about how the problem should look like.  Should look like this???\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x-7%2B5%29%2F%28x-1%29%29%2F%28%28x-3%2B1%29%2F%28x-1%29%29 ALIGN=MIDDLE  ALT=\"%28%28x-7%2B5%29%2F%28x-1%29%29%2F%28%28x-3%2B1%29%2F%28x-1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "If so, this is how you solve it.  When two fractions are divided by each other, is the same as multiplying by the reciprocal of the second one.  Thus we would be able to re-write the expression like this:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x-7%2B5%29%2F%28x-1%29%29%28%28x-1%29%2F%28x-3%2B1%29%29 ALIGN=MIDDLE  ALT=\"%28%28x-7%2B5%29%2F%28x-1%29%29%28%28x-1%29%2F%28x-3%2B1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "In this case, we may cancel (x-1), so we get:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-7%2B5%29%2F%28x-3%2B1%29 ALIGN=MIDDLE  ALT=\"%28x-7%2B5%29%2F%28x-3%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now simplify to:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-2%29%2F%28x-2%29 ALIGN=MIDDLE  ALT=\"%28x-2%29%2F%28x-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Can we simplify it further?  Yes.\r<BR>\n" );
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document.write( "Any number divided by itself will always equal 1, thus our final answer is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1 ALIGN=MIDDLE  ALT=\"1\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Done!  :) </SPAN>\n" );
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