document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=669966>Question 669966</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Is this a proportion:\r<BR>\n" );
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document.write( "15/27=2x/11\r<BR>\n" );
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document.write( "I don't think I've seen a proportion with a number next to the variable.\r<BR>\n" );
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document.write( "Thank you </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #416747 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=416747\">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=15%2F27=2x%2F11 ALIGN=MIDDLE  ALT=\"15%2F27=2x%2F11\"   DISABLED_style= \"max-width:90%; height:auto;\" > is a proportion.<BR>\n" );
document.write( "You may have seen only very simple proportions before,<BR>\n" );
document.write( "but proportions can get even more complicated.<BR>\n" );
document.write( "There could be expressions like <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x ALIGN=MIDDLE  ALT=\"2x\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-5 ALIGN=MIDDLE  ALT=\"x-5\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or worse,<BR>\n" );
document.write( "in one or more positions in a proportion.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x ALIGN=MIDDLE  ALT=\"2x\"   DISABLED_style= \"max-width:90%; height:auto;\" > just means <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2 ALIGN=MIDDLE  ALT=\"2\"   DISABLED_style= \"max-width:90%; height:auto;\" > times <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "There is more than one way to solve that proportion, but all will lead to the same result.<BR>\n" );
document.write( "If you would solve <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15%2F27=y%2F11 ALIGN=MIDDLE  ALT=\"15%2F27=y%2F11\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "by cross multiplying to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15%2A11=27%2Ay ALIGN=MIDDLE  ALT=\"15%2A11=27%2Ay\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<BR>\n" );
document.write( "You would do kind of the same thing for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15%2F27=2x%2F11 ALIGN=MIDDLE  ALT=\"15%2F27=2x%2F11\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "You would cross multiply with the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x=2%2Ax ALIGN=MIDDLE  ALT=\"2x=2%2Ax\"   DISABLED_style= \"max-width:90%; height:auto;\" > treated as a package<BR>\n" );
document.write( "From <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15%2F27=2x%2F11 ALIGN=MIDDLE  ALT=\"15%2F27=2x%2F11\"   DISABLED_style= \"max-width:90%; height:auto;\" >, you would cross multiply to get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15%2A11=27%2A%282x%29 ALIGN=MIDDLE  ALT=\"15%2A11=27%2A%282x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Then,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15%2A11=27%2A%282%2Ax%29 ALIGN=MIDDLE  ALT=\"15%2A11=27%2A%282%2Ax%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=165=%2827%2A2%29%2Ax%29 ALIGN=MIDDLE  ALT=\"165=%2827%2A2%29%2Ax%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=165=54%2Ax%29 ALIGN=MIDDLE  ALT=\"165=54%2Ax%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=165%2F54=54%2Ax%2F54%29 ALIGN=MIDDLE  ALT=\"165%2F54=54%2Ax%2F54%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=165%2F54=x%29 ALIGN=MIDDLE  ALT=\"165%2F54=x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now we can simplify <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=165%2F54 ALIGN=MIDDLE  ALT=\"165%2F54\"   DISABLED_style= \"max-width:90%; height:auto;\" > by dividing numerator and denominator by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3 ALIGN=MIDDLE  ALT=\"3\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=55%2F18%29 ALIGN=MIDDLE  ALT=\"highlight%28x=55%2F18%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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