document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=172176>Question 172176</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0395977258/algebrahomeworkh>Algebra and Trigonometry Structure and Method book 2</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> When I emailed this question one of the people who answered told me to add parentheses so he could solve it. Hopefully this helps to make it better!! I deeply appreciate the help!!!\r<BR>\n" );
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document.write( "Complex fractions.<BR>\n" );
document.write( "1-((2-1/x)/x) over 1-1/x </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #127199 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=127199\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Is the expression <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281-%28%282-1%2Fx%29%2Fx%29%29%2F%281-1%2Fx%29 ALIGN=MIDDLE  ALT=\"%281-%28%282-1%2Fx%29%2Fx%29%29%2F%281-1%2Fx%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ???\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281-%28%282-1%2Fx%29%2Fx%29%29%2F%281-1%2Fx%29 ALIGN=MIDDLE  ALT=\"%281-%28%282-1%2Fx%29%2Fx%29%29%2F%281-1%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=%281-%28%28%282x%29%2F%28x%29-1%2Fx%29%2Fx%29%29%2F%281-1%2Fx%29 ALIGN=MIDDLE  ALT=\"%281-%28%28%282x%29%2F%28x%29-1%2Fx%29%2Fx%29%29%2F%281-1%2Fx%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply 2 by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2Fx ALIGN=MIDDLE  ALT=\"x%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281-%28%282x-1%29%2Fx%29%2Fx%29%2F%281-1%2Fx%29 ALIGN=MIDDLE  ALT=\"%281-%28%282x-1%29%2Fx%29%2Fx%29%2F%281-1%2Fx%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x%29%2F%28x%29-1%2Fx ALIGN=MIDDLE  ALT=\"%282x%29%2F%28x%29-1%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x-1%29%2Fx ALIGN=MIDDLE  ALT=\"%282x-1%29%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281-%282x-1%29%2F%28x%5E2%29%29%2F%281-1%2Fx%29 ALIGN=MIDDLE  ALT=\"%281-%282x-1%29%2F%28x%5E2%29%29%2F%281-1%2Fx%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%282x-1%29%2Fx%29%2Fx ALIGN=MIDDLE  ALT=\"%28%282x-1%29%2Fx%29%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%282x-1%29%2Fx%29%2A%281%2Fx%29=%282x-1%29%2F%28x%5E2%29 ALIGN=MIDDLE  ALT=\"%28%282x-1%29%2Fx%29%2A%281%2Fx%29=%282x-1%29%2F%28x%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2Ax%5E2-cross%28x%5E2%29%28%282x-1%29%2Fcross%28x%5E2%29%29%29%2F%281%2Ax%5E2-x%5E2%2A%281%2Fcross%28x%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=x%5E2 ALIGN=MIDDLE  ALT=\"x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > to clear the inner fractions.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2-%282x-1%29%29%2F%28x%5E2-x%29 ALIGN=MIDDLE  ALT=\"%28x%5E2-%282x-1%29%29%2F%28x%5E2-x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2-2x%2B1%29%2F%28x%5E2-x%29 ALIGN=MIDDLE  ALT=\"%28x%5E2-2x%2B1%29%2F%28x%5E2-x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Distribute\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x-1%29%28x-1%29%29%2F%28x%5E2-x%29 ALIGN=MIDDLE  ALT=\"%28%28x-1%29%28x-1%29%29%2F%28x%5E2-x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor the numerator\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x-1%29%28x-1%29%29%2F%28x%28x-1%29%29 ALIGN=MIDDLE  ALT=\"%28%28x-1%29%28x-1%29%29%2F%28x%28x-1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor the denominator\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28highlight%28%28x-1%29%29%28x-1%29%29%2F%28x%2Ahighlight%28%28x-1%29%29%29 ALIGN=MIDDLE  ALT=\"%28highlight%28%28x-1%29%29%28x-1%29%29%2F%28x%2Ahighlight%28%28x-1%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Highlight the common terms.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28cross%28%28x-1%29%29%28x-1%29%29%2F%28x%2Across%28%28x-1%29%29%29 ALIGN=MIDDLE  ALT=\"%28cross%28%28x-1%29%29%28x-1%29%29%2F%28x%2Across%28%28x-1%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Cancel out the common terms.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-1%29%2Fx ALIGN=MIDDLE  ALT=\"%28x-1%29%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify\r<BR>\n" );
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document.write( "Answer:\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281-%28%282-1%2Fx%29%2Fx%29%29%2F%281-1%2Fx%29 ALIGN=MIDDLE  ALT=\"%281-%28%282-1%2Fx%29%2Fx%29%29%2F%281-1%2Fx%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > simplifies to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-1%29%2Fx ALIGN=MIDDLE  ALT=\"%28x-1%29%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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