document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1068148>Question 1068148</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The ratio of the numerator to the denominator of a fraction is three to five. If fifteen is subtracted from the numerator and added to the denominator, the new fraction reduces to one-third. 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 #683338 by </B><A HREF=/tutors/aboutme.mpl?userid=math_helper><B>math_helper(2461)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_helper><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=math_helper><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=683338\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2Fy+=+3%2F5+ ALIGN=MIDDLE  ALT=\"x%2Fy+=+3%2F5+\"   DISABLED_style= \"max-width:90%; height:auto;\" >   (1)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28x-15%29%2F%28y%2B15%29+=+1%2F3+ ALIGN=MIDDLE  ALT=\"+%28x-15%29%2F%28y%2B15%29+=+1%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" >   (2)\r<BR>\n" );
document.write( "\n" );
document.write( "(1) —> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+%283%2F5%29y+ ALIGN=MIDDLE  ALT=\"+x+=+%283%2F5%29y+\"   DISABLED_style= \"max-width:90%; height:auto;\" >   (1')<BR>\n" );
document.write( "Substitute this into (2) so you'll have one equation with one unknown (y):\r<BR>\n" );
document.write( "\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28%283%2F5%29y+-+15%29%2F%28y%2B15%29+=+1%2F3+ ALIGN=MIDDLE  ALT=\"+%28%283%2F5%29y+-+15%29%2F%28y%2B15%29+=+1%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%283%2F5%29y+-+15+=+%281%2F3%29%28y%2B15%29+ ALIGN=MIDDLE  ALT=\"+%283%2F5%29y+-+15+=+%281%2F3%29%28y%2B15%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "etc.<BR>\n" );
document.write( "Solve for y then plug into (1), (1') (easiest), or (2) to get x. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );