document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=753794>Question 753794</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The denominator of a positive common fraction is 3 more than its numerator.  If 5/28 is added to this fraction, the result is the same as the positive difference between the reciprocal of the original fraction and 1.  What is the common fraction?\r<BR>\n" );
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document.write( "Here is the equation I come up with but I have stalled...<BR>\n" );
document.write( "(x/x+3)+ 5/28 = (x+3/x)-1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #458602 by </B><A HREF=/tutors/aboutme.mpl?userid=MathTherapy><B>MathTherapy(10555)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathTherapy><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=MathTherapy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=458602\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "The denominator of a positive common fraction is 3 more than its numerator.  If 5/28 is added to this fraction, the result is the same as the positive difference between the reciprocal of the original fraction and 1.  What is the common fraction?\r<BR>\n" );
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document.write( "Here is the equation I come up with but I have stalled...<BR>\n" );
document.write( "(x/x+3)+ 5/28 = (x+3/x)-1\r<BR>\n" );
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document.write( "Let numerator be N<BR>\n" );
document.write( "Then denominator is N + 3<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=N%2F%28N+%2B+3%29+%2B+5%2F28+=+%28N+%2B+3%29%2FN+-+1 ALIGN=MIDDLE  ALT=\"N%2F%28N+%2B+3%29+%2B+5%2F28+=+%28N+%2B+3%29%2FN+-+1\"   DISABLED_style= \"max-width:90%; height:auto;\" > (You’re correct up to this point)\r<BR>\n" );
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document.write( "28N(N) + 5N(N + 3) = 28(N + 3)(N + 3) – 1(28N)(N + 3) ----- Multiplying by LCD, 28(N)(N + 3)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=28N%5E2+%2B+5N%5E2+%2B+15N+=+28%28N%5E2+%2B+6N+%2B+9%29+-+1%2828N%5E2+%2B+84N%29 ALIGN=MIDDLE  ALT=\"28N%5E2+%2B+5N%5E2+%2B+15N+=+28%28N%5E2+%2B+6N+%2B+9%29+-+1%2828N%5E2+%2B+84N%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%5E2+%2B+5N%5E2+%2B+15N+=+28N%5E2+%2B+168N+%2B+252+-+28N%5E2+-+84N ALIGN=MIDDLE  ALT=\"28N%5E2+%2B+5N%5E2+%2B+15N+=+28N%5E2+%2B+168N+%2B+252+-+28N%5E2+-+84N\"   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%5E2+%2B+5N%5E2+%2B+15N+=+28N%5E2+-+28N%5E2+%2B+168N+-+84N+%2B+252 ALIGN=MIDDLE  ALT=\"28N%5E2+%2B+5N%5E2+%2B+15N+=+28N%5E2+-+28N%5E2+%2B+168N+-+84N+%2B+252\"   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=33N%5E2+%2B+15N+=+84N+%2B+252 ALIGN=MIDDLE  ALT=\"33N%5E2+%2B+15N+=+84N+%2B+252\"   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=33N%5E2+%2B+15N+-+84N+-+252+=+0 ALIGN=MIDDLE  ALT=\"33N%5E2+%2B+15N+-+84N+-+252+=+0\"   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=33N%5E2+-+69N+-+252+=+0 ALIGN=MIDDLE  ALT=\"33N%5E2+-+69N+-+252+=+0\"   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=3%2811N%5E2+-+23N+-+84%29+=+3%280%29 ALIGN=MIDDLE  ALT=\"3%2811N%5E2+-+23N+-+84%29+=+3%280%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=11N%5E2+-+23N+-+84+=+0 ALIGN=MIDDLE  ALT=\"11N%5E2+-+23N+-+84+=+0\"   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=11N%5E2+-+44N+%2B+21N+-+84+=+0 ALIGN=MIDDLE  ALT=\"11N%5E2+-+44N+%2B+21N+-+84+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "11N(N - 4) + 21(N - 4) = 0\r<BR>\n" );
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document.write( "(N - 4)(11N + 21) = 0\r<BR>\n" );
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document.write( "N – 4 = 0   or   11N + 21 = 0 \r<BR>\n" );
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document.write( "N, or numerator = 4   OR  11N = - 21 (ignore)\r<BR>\n" );
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document.write( "Since N or numerator = 4, then denominator = 4 + 3, or 7\r<BR>\n" );
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document.write( "Common fraction is: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%284%2F7%29 ALIGN=MIDDLE  ALT=\"highlight_green%284%2F7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "You can do the check!!\r<BR>\n" );
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document.write( "Send comments and “thank-yous” to “D” at MathMadEzy@aol.com </SPAN>\n" );
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