document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=629846>Question 629846</A>: <I><SPAN STYLE=\"word-break: break-all;\"> On my practice lesson, complex fractions.<BR>\n" );
document.write( "I am bit overwhelmed with questions with three or four terms in a fraction.<BR>\n" );
document.write( "Can anyone please help or explain how to solve?\r<BR>\n" );
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document.write( "Find:<BR>\n" );
document.write( "(15ab-5a)/(16a^2-9) / 6b^3-2b^2/8ab+20a-6b-15<BR>\n" );
document.write( "It's a division problem consisting of two fractions,<BR>\n" );
document.write( "I understand I need to factor out. But the 8ab+20a-6b-15 is really throwing me off during the process, please help? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #396555 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=396555\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I'll help you factor 8ab+20a-6b-15. Hopefully that will get you going (if not, let me know)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8ab%2B20a-6b-15 ALIGN=MIDDLE  ALT=\"8ab%2B20a-6b-15\"   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=%288ab%2B20a%29%2B%28-6b-15%29 ALIGN=MIDDLE  ALT=\"%288ab%2B20a%29%2B%28-6b-15%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Group the terms in two pairs\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4a%282b%2B5%29-3%282b%2B5%29 ALIGN=MIDDLE  ALT=\"4a%282b%2B5%29-3%282b%2B5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor out the GCF <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4a ALIGN=MIDDLE  ALT=\"4a\"   DISABLED_style= \"max-width:90%; height:auto;\" > out of the first group. Factor out the GCF <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3 ALIGN=MIDDLE  ALT=\"-3\"   DISABLED_style= \"max-width:90%; height:auto;\" > out of the second group\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284a-3%29%282b%2B5%29 ALIGN=MIDDLE  ALT=\"%284a-3%29%282b%2B5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Since we have the common term <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2b%2B5 ALIGN=MIDDLE  ALT=\"2b%2B5\"   DISABLED_style= \"max-width:90%; height:auto;\" >, we can combine like terms\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8ab%2B20a-6b-15 ALIGN=MIDDLE  ALT=\"8ab%2B20a-6b-15\"   DISABLED_style= \"max-width:90%; height:auto;\" > factors to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284a-3%29%282b%2B5%29 ALIGN=MIDDLE  ALT=\"%284a-3%29%282b%2B5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "In other words, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8ab%2B20a-6b-15=%284a-3%29%282b%2B5%29 ALIGN=MIDDLE  ALT=\"8ab%2B20a-6b-15=%284a-3%29%282b%2B5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > for all values of 'a' and 'b'\r<BR>\n" );
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document.write( "Jim<BR>\n" );
document.write( "<font color=\"red\">--------------------------------------------------------------------------------------------------------------</font> </SPAN>\n" );
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