document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1003702>Question 1003702</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Explain why <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2g%2F%282g%2B6%29 ALIGN=MIDDLE  ALT=\"2g%2F%282g%2B6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > can not be simplified to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F6 ALIGN=MIDDLE  ALT=\"1%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Thanks in advance to anyone who can help! :) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #620345 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=620345\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> For <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g=0 ALIGN=MIDDLE  ALT=\"g=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%281%2F6=1%2F6%2C%22and%22%2C2g%2F%282g%2B6%29=2%2A0%2F%282%2A0%2B6%29=0%2F%280%2B6%29=0%2F6=0%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "so for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g=0 ALIGN=MIDDLE  ALT=\"g=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > , <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2g%2F%282g%2B6%29%3C%3E1%2F6 ALIGN=MIDDLE  ALT=\"2g%2F%282g%2B6%29%3C%3E1%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "Simplifying means changing an expression to an equivalent expression,<BR>\n" );
document.write( "an expression that, for every combination of values of the variables, calculates the same result,<BR>\n" );
document.write( "but looks simpler to you (or to your teacher, because simplicity is in the eye of the beholder).<BR>\n" );
document.write( "Simplifying does not mean magically crossing out expressions based on memorized (or maybe mis-remembered) arbitrary rules.<BR>\n" );
document.write( "You cannot cross out two expressions that are the same just because both are on opposite of an equal sign or a division bar symbol.<BR>\n" );
document.write( "After all, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2A0%2F%282%2A0%2B6%29=%282%2A0%29%2A1%2F%282%2A0%2B6%29%3C%3Ecross%282%2A0%29%2A1%2F%28cross%282%2A0%29%2B6%29=1%2F6 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "You can cross out an expression that is a factor of the numerator and denominator,<BR>\n" );
document.write( "as in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2g%2F%282g%2B6%29=2g%2F%282%28g%2B3%29%29=cross%282%29%2Ag%2F%28cross%282%29%2A%28g%2B3%29%29=g%2F%28g%2B3%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "because the crossing out really means pulling out <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2F2%29=1 ALIGN=MIDDLE  ALT=\"%282%2F2%29=1\"   DISABLED_style= \"max-width:90%; height:auto;\" > as a factor:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2g%2F%282g%2B6%29=2g%2F%282%28g%2B3%29%29=%282%2F2%29%28g%2F%28g%2B3%29%29=1%2A%28g%2F%28g%2B3%29%29=g%2F%28g%2B3%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Algebra is a language, with defined symbols and \"grammar\" rules,<BR>\n" );
document.write( "like every other language.<BR>\n" );
document.write( "However, it is the easiest language I have ever seen,<BR>\n" );
document.write( "with thew fewest symbols, and the fewest grammar rules.<BR>\n" );
document.write( "After learning the symbols and \"grammar\",<BR>\n" );
document.write( "the rest of algebra (and calculus) is just common sense.<BR>\n" );
document.write( "However, sometimes your reasoning would not re-discover gunpowder fast enough.<BR>\n" );
document.write( "In those cases, it is good to have someone show you, and for you to remember,<BR>\n" );
document.write( "the clever ways that people before you (like Pythagoras and others)<BR>\n" );
document.write( "used their common sense to solve problems in ways that may take you a while longer to figure out.\r<BR>\n" );
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