document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=177567>Question 177567</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi its really simplifying complex fractions.  So can you help me solve these 10 questions???  Please and thank you soooooo much! :)\r<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 #132584 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=132584\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Wow, there are a lot of problems. I'll do the first three to get you started.\r<BR>\n" );
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document.write( "# 1\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%2812%29%2F%28x-1%29%29%2F%286%2Fx%29 ALIGN=MIDDLE  ALT=\"%28%2812%29%2F%28x-1%29%29%2F%286%2Fx%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given expression\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2Across%28x-1%29%28%2812%29%2Fcross%28x-1%29%29%29%2F%28cross%28x%29%28x-1%29%286%2Fcross%28x%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply both numerator and denominator by the inner LCD <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%28x-1%29 ALIGN=MIDDLE  ALT=\"x%28x-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > to clear out the inner fractions.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2812x%29%2F%286%28x-1%29%29 ALIGN=MIDDLE  ALT=\"%2812x%29%2F%286%28x-1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply and simplify.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x%29%2F%28x-1%29 ALIGN=MIDDLE  ALT=\"%282x%29%2F%28x-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Reduce\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%2812%29%2F%28x-1%29%29%2F%286%2Fx%29=%282x%29%2F%28x-1%29 ALIGN=MIDDLE  ALT=\"%28%2812%29%2F%28x-1%29%29%2F%286%2Fx%29=%282x%29%2F%28x-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C%3E1 ALIGN=MIDDLE  ALT=\"x%3C%3E1\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C%3E0 ALIGN=MIDDLE  ALT=\"x%3C%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "# 2\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28k%2B1%29%2F%282k%29%29%2F%28%283k-1%29%2F%284k%29%29 ALIGN=MIDDLE  ALT=\"%28%28k%2B1%29%2F%282k%29%29%2F%28%283k-1%29%2F%284k%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given expression\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284cross%28k%29%28%28k%2B1%29%2F%28cross%282k%29%29%29%29%2F%28cross%284k%29%28%283k-1%29%2Fcross%284k%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply both numerator and denominator by the inner LCD <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4k ALIGN=MIDDLE  ALT=\"4k\"   DISABLED_style= \"max-width:90%; height:auto;\" > to clear out the inner fractions.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%28k%2B1%29%29%2F%283k-1%29 ALIGN=MIDDLE  ALT=\"%282%28k%2B1%29%29%2F%283k-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply and simplify.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282k%2B2%29%2F%283k-1%29 ALIGN=MIDDLE  ALT=\"%282k%2B2%29%2F%283k-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Distribute\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28k%2B1%29%2F%282k%29%29%2F%28%283k-1%29%2F%284k%29%29=%282k%2B2%29%2F%283k-1%29 ALIGN=MIDDLE  ALT=\"%28%28k%2B1%29%2F%282k%29%29%2F%28%283k-1%29%2F%284k%29%29=%282k%2B2%29%2F%283k-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C%3E0 ALIGN=MIDDLE  ALT=\"x%3C%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C%3E1%2F3 ALIGN=MIDDLE  ALT=\"x%3C%3E1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "# 3\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%2Fx%2B3%2Fy%29%2F%283%2Fx-3%2Fy%29 ALIGN=MIDDLE  ALT=\"%283%2Fx%2B3%2Fy%29%2F%283%2Fx-3%2Fy%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given expression\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28cross%28x%29y%283%2Fcross%28x%29%29%2Bx%2Across%28y%29%283%2Fcross%28y%29%29%29%2F%28cross%28x%29y%283%2Fcross%28x%29%29-x%2Across%28y%29%283%2Fcross%28y%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply EVERY term by the inner LCD <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=xy ALIGN=MIDDLE  ALT=\"xy\"   DISABLED_style= \"max-width:90%; height:auto;\" > to clear out the inner fractions.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283y%2B3x%29%2F%283y-3x%29 ALIGN=MIDDLE  ALT=\"%283y%2B3x%29%2F%283y-3x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply and simplify.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%28x%2By%29%29%2F%283%28x-y%29%29 ALIGN=MIDDLE  ALT=\"%283%28x%2By%29%29%2F%283%28x-y%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor out the GCF 3 from the numerator and denominator and rearrange the terms.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2By%29%2F%28x-y%29 ALIGN=MIDDLE  ALT=\"%28x%2By%29%2F%28x-y%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Reduce\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%2Fx%2B3%2Fy%29%2F%283%2Fx-3%2Fy%29=%28x%2By%29%2F%28x-y%29 ALIGN=MIDDLE  ALT=\"%283%2Fx%2B3%2Fy%29%2F%283%2Fx-3%2Fy%29=%28x%2By%29%2F%28x-y%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C%3E0 ALIGN=MIDDLE  ALT=\"x%3C%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%3C%3E0 ALIGN=MIDDLE  ALT=\"y%3C%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C%3Ey ALIGN=MIDDLE  ALT=\"x%3C%3Ey\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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