document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=375993>Question 375993</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The denominator of a fraction is five more than the numerator.  When 4 is subtracted from the numerator and 3 is added to the denominator, the resulting fraction is equal to 1/5. Find the original fraction. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #267432 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=267432\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let n/d be the fraction.  Then by the given, d = n + 5, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28n+-+4%29%2F%28d+%2B+3%29+=+1%2F5 ALIGN=MIDDLE  ALT=\"%28n+-+4%29%2F%28d+%2B+3%29+=+1%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  By direct substitution, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28n+-+4%29%2F%28n%2B5+%2B+3%29+=+1%2F5 ALIGN=MIDDLE  ALT=\"%28n+-+4%29%2F%28n%2B5+%2B+3%29+=+1%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28n-4%29%2F%28n+%2B+8%29+=+1%2F5 ALIGN=MIDDLE  ALT=\"%28n-4%29%2F%28n+%2B+8%29+=+1%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "5(n - 4) = n + 8, or<BR>\n" );
document.write( "5n - 20 = n + 8, or<BR>\n" );
document.write( "4n = 28, or<BR>\n" );
document.write( "n = 7, and d = 12.  The original fraction is 7/12. </SPAN>\n" );
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