document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1043253>Question 1043253</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The numerator of a fraction is 7 less than the denominator. If one and one third is added to it, the fraction obtained is 14/9. 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 #658381 by </B><A HREF=/tutors/aboutme.mpl?userid=Cromlix><B>Cromlix(4381)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Cromlix><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=Cromlix><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=658381\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hi there,<BR>\n" );
document.write( "The numerator of a fraction is 7 less than the denominator.<BR>\n" );
document.write( "Make denominator = x<BR>\n" );
document.write( "(x - 7)/x<BR>\n" );
document.write( "If one and one third is added to it, the fraction obtained is 14/9. <BR>\n" );
document.write( "(x - 7)/x + 4/3 = 14/9<BR>\n" );
document.write( "Take lowest common denominator = 27x<BR>\n" );
document.write( "[27(x - 7) + 9x(4) = 3x(14)]<BR>\n" );
document.write( "[27x - 189 + 36x = 42x]<BR>\n" );
document.write( "Collect like terms<BR>\n" );
document.write( "27x + 36x - 42x = 189<BR>\n" );
document.write( "21x = 189<BR>\n" );
document.write( "x = 9<BR>\n" );
document.write( "Original fraction =<BR>\n" );
document.write( "(x - 7)/x<BR>\n" );
document.write( "(9 -7)/9<BR>\n" );
document.write( "2/9.<BR>\n" );
document.write( "Proof:<BR>\n" );
document.write( "2/9 + 4/3 = 14/9<BR>\n" );
document.write( "Hope this helps :-) </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );