document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=11042>Question 11042</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have drawn a blank on this one, please show the procedure to arrive at an answer.<BR>\n" );
document.write( "Thank You, <BR>\n" );
document.write( "Dick\r<BR>\n" );
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document.write( "x/4 + x/3 + x/5 + 52 = x </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #5795 by </B><A HREF=/tutors/aboutme.mpl?userid=kinupanda><B>kinupanda(9)</B></A><img src=\"/images/stars/stars-05.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=kinupanda><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=5795\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Our problem is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F4+%2B+x%2F3+%2B+x%2F5+%2B+52+=+x ALIGN=MIDDLE  ALT=\"x%2F4+%2B+x%2F3+%2B+x%2F5+%2B+52+=+x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "This looks confusing, but if we rewrite it as such...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F4%29x+%2B+%281%2F3%29x+%2B+%281%2F5%29x+%2B+52+=+x ALIGN=MIDDLE  ALT=\"%281%2F4%29x+%2B+%281%2F3%29x+%2B+%281%2F5%29x+%2B+52+=+x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "... we see that all of the variables are simply x multiplied by a constant.  So what we can do is add up the constants and say that they are all multiplied by x, using the associative property.  Since they are fractions, we need to give them a common denominator.  For 3, 4, and 5, the lowest common denominator is 60.  Thus, we need to multiply each fraction by a form of \"1\" such that each denominator is 60.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F4%29%2815%2F15%29x+%2B+%281%2F3%29%2820%2F20%29x+%2B+%281%2F5%29%2812%2F12%29x+%2B+52+=+%2860%2F60%29x ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2815%2F60%29x+%2B+%2820%2F60%29x+%2B+%2812%2F60%29x+%2B+52+=+%2860%2F60%29x ALIGN=MIDDLE  ALT=\"%2815%2F60%29x+%2B+%2820%2F60%29x+%2B+%2812%2F60%29x+%2B+52+=+%2860%2F60%29x\"   DISABLED_style= \"max-width:90%; height:auto;\" > ... multiply our fractions<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%2815%2B20%2B12%29%2F60%29x+%2B+52+=+%2860%2F60%29x ALIGN=MIDDLE  ALT=\"%28%2815%2B20%2B12%29%2F60%29x+%2B+52+=+%2860%2F60%29x\"   DISABLED_style= \"max-width:90%; height:auto;\" > ... combine like terms<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2847%2F60%29x+%2B+52+=+%2860%2F60%29x ALIGN=MIDDLE  ALT=\"%2847%2F60%29x+%2B+52+=+%2860%2F60%29x\"   DISABLED_style= \"max-width:90%; height:auto;\" > ... add<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=52+=+%2813%2F60%29x ALIGN=MIDDLE  ALT=\"52+=+%2813%2F60%29x\"   DISABLED_style= \"max-width:90%; height:auto;\" > ... subtract (47/60)x from both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2852%29%2860%2F13%29+=+x ALIGN=MIDDLE  ALT=\"%2852%29%2860%2F13%29+=+x\"   DISABLED_style= \"max-width:90%; height:auto;\" > ... multiply both sides by (60/13), the reciprocal of (13/60)\r<BR>\n" );
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document.write( "52/13 is 4, and 4 times 60 is 240.  Thus, our answer is: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=240 ALIGN=MIDDLE  ALT=\"x=240\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "To check, let's plug this value back into our original equation:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F4+%2B+x%2F3+%2B+x%2F5+%2B+52+=+x ALIGN=MIDDLE  ALT=\"x%2F4+%2B+x%2F3+%2B+x%2F5+%2B+52+=+x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=240%2F4+%2B+240%2F3+%2B+240%2F5+%2B+52+=+240 ALIGN=MIDDLE  ALT=\"240%2F4+%2B+240%2F3+%2B+240%2F5+%2B+52+=+240\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=60+%2B+80+%2B+48+%2B+52+=+240 ALIGN=MIDDLE  ALT=\"60+%2B+80+%2B+48+%2B+52+=+240\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=240+=+240 ALIGN=MIDDLE  ALT=\"240+=+240\"   DISABLED_style= \"max-width:90%; height:auto;\" > ... yup! </SPAN>\n" );
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