document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=7089>Question 7089</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The numerator of a fraction is 10 less than the denominator. If 4 is added to each, the value of the resulting fraction is 3/5. Find the original fraction.<BR>\n" );
document.write( "I've tried using multiples of 3/5 and subtracting 4 from the numerator and denominator hoping it will give me a solution where the numerator is 10 less than the denominator but I want a faster way of figuring this problemo ut just in case I ever get it on a test. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #3882 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=3882\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You could use this approach:\r<BR>\n" );
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document.write( "Let d = the denominator.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28d-10%29%2B4%29%2F%28d%2B4%29+=+3%2F5 ALIGN=MIDDLE  ALT=\"%28%28d-10%29%2B4%29%2F%28d%2B4%29+=+3%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify then cross-multiply.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28d-6%29%2F%28d%2B4%29+=+3%2F5 ALIGN=MIDDLE  ALT=\"%28d-6%29%2F%28d%2B4%29+=+3%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%28d-6%29+=+3%28d%2B4%29 ALIGN=MIDDLE  ALT=\"5%28d-6%29+=+3%28d%2B4%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=5d-30+=+3d%2B12 ALIGN=MIDDLE  ALT=\"5d-30+=+3d%2B12\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 3d from both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2d-30+=+12 ALIGN=MIDDLE  ALT=\"2d-30+=+12\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add 30 to both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2d+=+42 ALIGN=MIDDLE  ALT=\"2d+=+42\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by 2.<BR>\n" );
document.write( "d = 21\r<BR>\n" );
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document.write( "The original fraction is:<BR>\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28d-10%29%2Fd ALIGN=MIDDLE  ALT=\"%28d-10%29%2Fd\"   DISABLED_style= \"max-width:90%; height:auto;\" > or<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2821-10%29%2F21 ALIGN=MIDDLE  ALT=\"%2821-10%29%2F21\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11%2F21 ALIGN=MIDDLE  ALT=\"11%2F21\"   DISABLED_style= \"max-width:90%; height:auto;\" > This is the original fraction.\r<BR>\n" );
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document.write( "Check: \r<BR>\n" );
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document.write( "Adding 4 to the numerator and to the denominator, we get:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2811%2B4%29%2F%2821%2B4%29+=+15%2F25+=+3%2F5 ALIGN=MIDDLE  ALT=\"%2811%2B4%29%2F%2821%2B4%29+=+15%2F25+=+3%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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