document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=203294>Question 203294</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 4+  12/2x-3 divided by 5+ 15/2x-3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #153361 by </B><A HREF=/tutors/aboutme.mpl?userid=PRMath><B>PRMath(133)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=PRMath><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=153361\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Here is how I read your question.....\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284+%2B+12%29%2F%282x+-+3%29 ALIGN=MIDDLE  ALT=\"%284+%2B+12%29%2F%282x+-+3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "(I am sorry I can't make that look better - I'm still learning how to set up problems here).\r<BR>\n" );
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document.write( "So anyway, when you divide with fractions, you multiply by the reciprocal.  For example:   <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F2%29%2F%282%2F3%29 ALIGN=MIDDLE  ALT=\"%281%2F2%29%2F%282%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F2%29 ALIGN=MIDDLE  ALT=\"%281%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%2F2%29 ALIGN=MIDDLE  ALT=\"%283%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > which is:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F4 ALIGN=MIDDLE  ALT=\"3%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Do you remember that's how you handle division with fractions?  Well, that same principle works whether you are using small fractions (like the previous example) or larger fractions, like your math problem here.\r<BR>\n" );
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document.write( "SO keeping that principle in mind, think of this......  \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284+%2B+12%29%2F%282x+-+3%29 ALIGN=MIDDLE  ALT=\"%284+%2B+12%29%2F%282x+-+3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285+%2B+15%29%2F%282x+-+3%29 ALIGN=MIDDLE  ALT=\"%285+%2B+15%29%2F%282x+-+3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "becomes.........\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284+%2B+12%29%2F%282x+-+3%29 ALIGN=MIDDLE  ALT=\"%284+%2B+12%29%2F%282x+-+3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > * <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x+-+3%29%2F%285+%2B+15%29 ALIGN=MIDDLE  ALT=\"%282x+-+3%29%2F%285+%2B+15%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "What we do now is cancel out some factors.  Can you see that the (2x - 3) in the numerator cancels the (2x - 3) in the denominator?  Does that makes sense? \r<BR>\n" );
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document.write( "That leaves:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284+%2B+12%29%2F%285+%2B+15%29 ALIGN=MIDDLE  ALT=\"%284+%2B+12%29%2F%285+%2B+15%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > which is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16%2F20 ALIGN=MIDDLE  ALT=\"16%2F20\"   DISABLED_style= \"max-width:90%; height:auto;\" > which reduces to:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F5 ALIGN=MIDDLE  ALT=\"4%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "I hope this helps you. :-) </SPAN>\n" );
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