document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=696879>Question 696879</A>: <I><SPAN STYLE=\"word-break: break-all;\"> When 1 is added to the denominator of a fraction, the fraction becomes 1/5 but when 1 is subtracted from its numerator, it becomes 1/7.Find the fraction </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #429456 by </B><A HREF=/tutors/aboutme.mpl?userid=mathbird><B>mathbird(71)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mathbird><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=429456\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let the fraction be x/y<BR>\n" );
document.write( "1 is added to the denominator of the fraction<BR>\n" );
document.write( "x/(y+1)=1/5(cross multiply)<BR>\n" );
document.write( "5x=y+1<BR>\n" );
document.write( "5x-y=1------->(eq1)<BR>\n" );
document.write( "now,when 1 is subtracted from its numerator<BR>\n" );
document.write( "(x-1)/y=1/7 (cross multiply)<BR>\n" );
document.write( "7x-7=y<BR>\n" );
document.write( "7x-y=7---->(eq2)<BR>\n" );
document.write( "Subtracting eq 2 from 1<BR>\n" );
document.write( "-2x=-6<BR>\n" );
document.write( "X=3<BR>\n" );
document.write( "Put value of x in eq 1<BR>\n" );
document.write( "5x-y=1<BR>\n" );
document.write( "5*3-y=1<BR>\n" );
document.write( "15-y=1<BR>\n" );
document.write( "-y=1-15<BR>\n" );
document.write( "-y=-14<BR>\n" );
document.write( "y=14<BR>\n" );
document.write( "ans can be checked by substituting values of x and y in any equation either 1 or 2 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );