document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=97287>Question 97287</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Simplify the complex fraction\r<BR>\n" );
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document.write( "w+3<BR>\n" );
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document.write( "4w<BR>\n" );
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document.write( "w-3<BR>\n" );
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document.write( "2w </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #70797 by </B><A HREF=/tutors/aboutme.mpl?userid=ptaylor><B>ptaylor(2198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ptaylor><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=ptaylor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=70797\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This problem represents one fraction being divided by another fraction.  In other words, we have the general form:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a%2Fb%29%2F%28c%2Fd%29 ALIGN=MIDDLE  ALT=\"%28a%2Fb%29%2F%28c%2Fd%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2Fb ALIGN=MIDDLE  ALT=\"a%2Fb\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the numerator and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%2Fd ALIGN=MIDDLE  ALT=\"c%2Fd\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the denominator and in this problem:\r<BR>\n" );
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document.write( "a=w+3<BR>\n" );
document.write( "b=4w<BR>\n" );
document.write( "c=w-3<BR>\n" );
document.write( "d=2w\r<BR>\n" );
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document.write( "Now we will simplify <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a%2Fb%29%2F%28c%2Fd%29 ALIGN=MIDDLE  ALT=\"%28a%2Fb%29%2F%28c%2Fd%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  and then substitute the values for a,b,c & d:\r<BR>\n" );
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document.write( "We can simplify this complex fraction by making the denominator equal to 1. we do this by multiplying both the numerator and denominator by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%2Fc ALIGN=MIDDLE  ALT=\"d%2Fc\"   DISABLED_style= \"max-width:90%; height:auto;\" > and we get:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28a%2Fb%29%28d%2Fc%29%29%2F%28%28c%2Fd%29%28d%2Fc%29%29 ALIGN=MIDDLE  ALT=\"%28%28a%2Fb%29%28d%2Fc%29%29%2F%28%28c%2Fd%29%28d%2Fc%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and this gives us:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28ad%29%2F%28bc%29%29%2F1 ALIGN=MIDDLE  ALT=\"%28%28ad%29%2F%28bc%29%29%2F1\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28ad%29%2F%28bc%29 ALIGN=MIDDLE  ALT=\"%28ad%29%2F%28bc%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > now substituting for a,b,c&d, we get:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%282w%29%28w%2B3%29%29%2F%28%284w%29%28w-3%29%29 ALIGN=MIDDLE  ALT=\"%28%282w%29%28w%2B3%29%29%2F%28%284w%29%28w-3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and this reduces to:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28w%2B3%29%2F%282%28w-3%29%29 ALIGN=MIDDLE  ALT=\"%28w%2B3%29%2F%282%28w-3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Hope this helps-----ptaylor\r<BR>\n" );
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