document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=120847>Question 120847</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The numerator of a fraction is seven more than twice the denominator. The value of the reciprocal of the fraction is 0.4. Find the original fraction.\r<BR>\n" );
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document.write( "Could someone please help me? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #88644 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=88644\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let N = the numerator and D = the denominator, so the fraction can be written as: <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;\" >.<BR>\n" );
document.write( "From the problem, you can write:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=N+=+2D%2B7 ALIGN=MIDDLE  ALT=\"N+=+2D%2B7\"   DISABLED_style= \"max-width:90%; height:auto;\" > so we'll substitute the N with 2D+7 to get:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282D%2B7%29%2FD+ ALIGN=MIDDLE  ALT=\"%282D%2B7%29%2FD+\"   DISABLED_style= \"max-width:90%; height:auto;\" > and the reciprocal of this is 0.4, so...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D%2F%282D%2B7%29+=+0.4 ALIGN=MIDDLE  ALT=\"D%2F%282D%2B7%29+=+0.4\"   DISABLED_style= \"max-width:90%; height:auto;\" > Replace the 0.4 with its fractional equvalent of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F10 ALIGN=MIDDLE  ALT=\"4%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D%2F%282D%2B7%29+=+4%2F10 ALIGN=MIDDLE  ALT=\"D%2F%282D%2B7%29+=+4%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now cross-multiply.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10D+=+4%282D%2B7%29 ALIGN=MIDDLE  ALT=\"10D+=+4%282D%2B7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify and solve for D.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10D+=+8D%2B28 ALIGN=MIDDLE  ALT=\"10D+=+8D%2B28\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 8D from both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2D+=+28 ALIGN=MIDDLE  ALT=\"2D+=+28\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by 2.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D+=+14 ALIGN=MIDDLE  ALT=\"D+=+14\"   DISABLED_style= \"max-width:90%; height:auto;\" > and...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=N+=+2D%2B7 ALIGN=MIDDLE  ALT=\"N+=+2D%2B7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=N+=+2%2814%29%2B7 ALIGN=MIDDLE  ALT=\"N+=+2%2814%29%2B7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=N+=+35 ALIGN=MIDDLE  ALT=\"N+=+35\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The original fraction is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=N%2FD+=+35%2F14 ALIGN=MIDDLE  ALT=\"N%2FD+=+35%2F14\"   DISABLED_style= \"max-width:90%; height:auto;\" >  </SPAN>\n" );
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