document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=145759>Question 145759</A>: <I><SPAN STYLE=\"word-break: break-all;\"> When 2 is subtracted from the numerator and 1 is added to the denominator of a positive fraction the result is 5. Find the fraction given that it lies between 7 and 8. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #106390 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=106390\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> When 2 is subtracted from the numerator and 1 is added to the denominator of a positive fraction the result is 5. Find the fraction given that it lies between 7 and 8<BR>\n" );
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document.write( "n = numerator, d = denominator<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28n-2%29%29%2F%28%28d%2B1%29%29 ALIGN=MIDDLE  ALT=\"%28%28n-2%29%29%2F%28%28d%2B1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 5<BR>\n" );
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document.write( "n - 2 = 5(d+1)<BR>\n" );
document.write( "n - 2 = 5d + 5 + 2<BR>\n" );
document.write( "n = 5d + 7<BR>\n" );
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document.write( "Substitute values for d, find an integer which satisfies the \"between 7 & 8\" requirement<BR>\n" );
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document.write( "d=2<BR>\n" );
document.write( "n = 5(2) + 7<BR>\n" );
document.write( "n = 17<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=17%2F2 ALIGN=MIDDLE  ALT=\"17%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 8.5 obviously not the solution<BR>\n" );
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document.write( "d=3<BR>\n" );
document.write( "n = 5(3) + 7<BR>\n" );
document.write( "n = 22<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=22%2F3 ALIGN=MIDDLE  ALT=\"22%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 7.333, this is fraction we are seeking </SPAN>\n" );
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