document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=363626>Question 363626</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Simplify complex fraction\r<BR>\n" );
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document.write( "1/2 +1/3 divided by 1-1/6 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #259315 by </B><A HREF=/tutors/aboutme.mpl?userid=jsmallt9><B>jsmallt9(3758)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jsmallt9><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=259315\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F2+%2B1%2F3%29%2F%281-1%2F6%29 ALIGN=MIDDLE  ALT=\"%281%2F2+%2B1%2F3%29%2F%281-1%2F6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This simplest way to simplify a complex fraction, IMHO, is to<ol><li>Find the Lowest Common Denominator (LCD) of all the denominators of the \"little\" fractions</li><li>Multiply the numerator and denominator of the \"big\" fraction by the LCD found in step #1.</li></ol><BR>\n" );
document.write( "Let's see how this works on your complex fractions. The \"little\" fractions are 1/2, 1/3 and 1/6. The LCD of 2, 3 and 6 is 6. So we will multiply the numerator and denominator of the \"big\" fraction by 6:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%281%2F2+%2B1%2F3%29%2F%281-1%2F6%29%29%286%2F6%29 ALIGN=MIDDLE  ALT=\"%28%281%2F2+%2B1%2F3%29%2F%281-1%2F6%29%29%286%2F6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "To multiply correctly we will need to use the Distributive Property in both the numerator and denominator:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%281%2F2+%2B1%2F3%29%2A6%29%2F%28%281-1%2F6%29%2A6%29%29 ALIGN=MIDDLE  ALT=\"%28%281%2F2+%2B1%2F3%29%2A6%29%2F%28%281-1%2F6%29%2A6%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%281%2F2%29%2A6+%2B+%281%2F3%29%2A6%29%2F%281%2A6+-+%281%2F6%29%2A6%29 ALIGN=MIDDLE  ALT=\"%28%281%2F2%29%2A6+%2B+%281%2F3%29%2A6%29%2F%281%2A6+-+%281%2F6%29%2A6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283+%2B+2%29%2F%286+-+1%29 ALIGN=MIDDLE  ALT=\"%283+%2B+2%29%2F%286+-+1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Notice how all the \"little\" fractions disappear when you multiply by the LCD!<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F5 ALIGN=MIDDLE  ALT=\"5%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "which simplifies to 1! </SPAN>\n" );
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