document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1157817>Question 1157817</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The denominator of a fraction is four more than twice the numerator. If both numerator and denominator are decreased by six, the simplified result is 7\19. Find the original fraction. (Do NOT simplify.)\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #780692 by </B><A HREF=/tutors/aboutme.mpl?userid=Shin123><B>Shin123(626)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Shin123><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=Shin123><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=780692\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let the numerator be x. The fraction is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F2x%2B4 ALIGN=MIDDLE  ALT=\"x%2F2x%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" >. The fraction <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-6%29%2F%282x-2%29 ALIGN=MIDDLE  ALT=\"%28x-6%29%2F%282x-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > is equal to 7/19. Suppose we let x-6=7 and 2x-2=19. We get x=13 and x=21/2, and both can not be true. Now suppose we let the numerator and denominator equal to 14 and 38 instead. Now we have x=20 and x=20. So the fraction is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20%2F44 ALIGN=MIDDLE  ALT=\"20%2F44\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
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