document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=585564>Question 585564</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The value of 7 times a fraction's denominator is added to both the numerator and the denominator, and the result is subtracted from the original fraction. If the difference is 8, 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 #373401 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=373401\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The value of 7 times a fraction's denominator is added to both the numerator and the denominator, and the result is subtracted from the original fraction.<BR>\n" );
document.write( " If the difference is 8, find the original fraction.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "<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;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28n%2B7d%29%29%2F%28%28d%2B7d%29%29 ALIGN=MIDDLE  ALT=\"%28%28n%2B7d%29%29%2F%28%28d%2B7d%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 8<BR>\n" );
document.write( ";<BR>\n" );
document.write( "<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;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28n%2B7d%29%29%2F%28%288d%29%29 ALIGN=MIDDLE  ALT=\"%28%28n%2B7d%29%29%2F%28%288d%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 8<BR>\n" );
document.write( "multiply by 8d<BR>\n" );
document.write( "8n - (n + 7d) = 8d*8<BR>\n" );
document.write( ":<BR>\n" );
document.write( "8n - n - 7d = 64d<BR>\n" );
document.write( "7n - 7d = 64d<BR>\n" );
document.write( "7n = 64d + 7d<BR>\n" );
document.write( "7n = 71d<BR>\n" );
document.write( "n = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=71%2F7 ALIGN=MIDDLE  ALT=\"71%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" >d<BR>\n" );
document.write( "Only integer solution, d = 7 or a multiple of 7<BR>\n" );
document.write( "Anyway, let's say<BR>\n" );
document.write( "n = 71<BR>\n" );
document.write( "d = 7<BR>\n" );
document.write( ":<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=71%2F7 ALIGN=MIDDLE  ALT=\"71%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the original fraction<BR>\n" );
document.write( ":<BR>\n" );
document.write( "See if that checks out, 7d = 49<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=71%2F7 ALIGN=MIDDLE  ALT=\"71%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%2871%2B49%29%29%2F%28%287%2B49%29%29 ALIGN=MIDDLE  ALT=\"%28%2871%2B49%29%29%2F%28%287%2B49%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=71%2F7 ALIGN=MIDDLE  ALT=\"71%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=120%2F56 ALIGN=MIDDLE  ALT=\"120%2F56\"   DISABLED_style= \"max-width:90%; height:auto;\" > =<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=568%2F56 ALIGN=MIDDLE  ALT=\"568%2F56\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=120%2F56 ALIGN=MIDDLE  ALT=\"120%2F56\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=448%2F56 ALIGN=MIDDLE  ALT=\"448%2F56\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 8 <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );