document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1018499>Question 1018499</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The numerator of a certain fraction is 3 less than its denominator. If 6 is added to\r<BR>\n" );
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document.write( "the numerator and 5 to the denominator, the value of the fraction is doubled. \r<BR>\n" );
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document.write( "Find the fraction. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #634583 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=634583\">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=n%2Fd ALIGN=MIDDLE  ALT=\"n%2Fd\"   DISABLED_style= \"max-width:90%; height:auto;\" >, the fraction.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28n=-3%2Bd%2C%28n%2B6%29%2F%28d%2B5%29=2%28n%2Fd%29%29 ALIGN=MIDDLE  ALT=\"system%28n=-3%2Bd%2C%28n%2B6%29%2F%28d%2B5%29=2%28n%2Fd%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28n%2B6%29%2F%28d%2B5%29=2n%2Fd ALIGN=MIDDLE  ALT=\"%28n%2B6%29%2F%28d%2B5%29=2n%2Fd\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%28n%2B6%29=2n%28d%2B5%29 ALIGN=MIDDLE  ALT=\"d%28n%2B6%29=2n%28d%2B5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "substitute.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%28d-3%2B6%29=2%28d-3%29%28d%2B5%29 ALIGN=MIDDLE  ALT=\"d%28d-3%2B6%29=2%28d-3%29%28d%2B5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=removed%29 ALIGN=MIDDLE  ALT=\"removed%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=removed ALIGN=MIDDLE  ALT=\"removed\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=removed ALIGN=MIDDLE  ALT=\"removed\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=d%5E2%2B3d-30 ALIGN=MIDDLE  ALT=\"0=d%5E2%2B3d-30\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=removed ALIGN=MIDDLE  ALT=\"removed\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "-removed-\r<BR>\n" );
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document.write( "I will recheck.\r<BR>\n" );
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document.write( "Step should be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28d%2B3%29%2F%28d%2B5%29=2%28d-3%29%2Fd ALIGN=MIDDLE  ALT=\"%28d%2B3%29%2F%28d%2B5%29=2%28d-3%29%2Fd\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and then <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28d%2B5%29%282d-6%29=d%28d%2B3%29 ALIGN=MIDDLE  ALT=\"%28d%2B5%29%282d-6%29=d%28d%2B3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and skipping past a few steps,...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5E2%2Bd-30=0 ALIGN=MIDDLE  ALT=\"d%5E2%2Bd-30=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "which will give  EITHER <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=-5 ALIGN=MIDDLE  ALT=\"d=-5\"   DISABLED_style= \"max-width:90%; height:auto;\" >  OR  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=6 ALIGN=MIDDLE  ALT=\"d=6\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "You can work toward finding n from there.\r<BR>\n" );
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document.write( "I later checked these results thoroughly.  The d=-5 part will not work; but the d=6 part works perfectly, indicating  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28n%2Fd=1%2F2%29 ALIGN=MIDDLE  ALT=\"highlight%28n%2Fd=1%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
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