document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=141385>Question 141385</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/9780073268620/algebrahomeworkh>Elementary and Intermediate Algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> this problem is on page 407. \r<BR>\n" );
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document.write( "1/2 +1/4x<BR>\n" );
document.write( "---------    = I didn't get the same answer as the back of the book. It's <BR>\n" );
document.write( "x/3 - 1/12x    supposed to be 3/2x-1. I don't understand how they got that. Anne </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #103022 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=103022\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "Hi Anne.  Let's first look at the numerator:\r<BR>\n" );
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document.write( "(1/2)+(1/4x) We'll multiply each term by (4x/4x) and we get\r<BR>\n" );
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document.write( "(2x+1)/4x\r<BR>\n" );
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document.write( "Now lets look at the denominator:\r<BR>\n" );
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document.write( "(x/3)-(1/12x)  We'll multiply each term by (12x/12x) and we get\r<BR>\n" );
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document.write( "(4x^2-1)/12x  but 4x^2-1=(2x+1)(2x-1) so now we have\r<BR>\n" );
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document.write( "((2x+1)(2x-1))/12x\r<BR>\n" );
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document.write( "now let's put the numerator and denominator back together again:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%282x%2B1%29%2F4x%29%2F%28%282x%2B1%29%282x-1%29%2F12x%29 ALIGN=MIDDLE  ALT=\"%28%282x%2B1%29%2F4x%29%2F%28%282x%2B1%29%282x-1%29%2F12x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now we'll multiply both the numerator and denominator by 12x/((2x-1)(2x+1))\r<BR>\n" );
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document.write( "and we get:\r<BR>\n" );
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document.write( "((2x+1)/4x)*12x/((2x-1)(2x+1))/1 and this gives us\r<BR>\n" );
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document.write( "3/(2x-1)\r<BR>\n" );
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document.write( "Hope this helps---ptaylor </SPAN>\n" );
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