document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=392125>Question 392125</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The denominator of a fraction is 9 more than the numerator. If the numerator is decreased by 3 and the denominator is increased by 3, the value of the resulting fraction is 1/4. What is 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 #278304 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=278304\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The denominator of a fraction is 9 more than the numerator. If the numerator is decreased by 3 and the denominator is increased by 3, the value of the resulting fraction is 1/4. What is the original fraction?<BR>\n" );
document.write( "...<BR>\n" );
document.write( "numerator =x<BR>\n" );
document.write( "denominator = x+9<BR>\n" );
document.write( "...<BR>\n" );
document.write( "fraction = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F%28x%2B9%29 ALIGN=MIDDLE  ALT=\"x%2F%28x%2B9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-3%29%2F%28x%2B12%29=1%2F4 ALIGN=MIDDLE  ALT=\"%28x-3%29%2F%28x%2B12%29=1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "cross multiply<BR>\n" );
document.write( "4(x-3)=(x+12)<BR>\n" );
document.write( "4x-12=x+12<BR>\n" );
document.write( "add 12<BR>\n" );
document.write( "4x=x+12+12<BR>\n" );
document.write( "4x=x+24<BR>\n" );
document.write( "add -x<BR>\n" );
document.write( "4x-x=24<BR>\n" );
document.write( "3x=24<BR>\n" );
document.write( "/3<BR>\n" );
document.write( "x=8 the numerator<BR>\n" );
document.write( "x+9= 17 the denominator<BR>\n" );
document.write( "..<BR>\n" );
document.write( "The fraction is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+8%2F17 ALIGN=MIDDLE  ALT=\"+8%2F17\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "...<BR>\n" );
document.write( "m.ananth@hotmail.ca<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );