document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=833192>Question 833192</A>: <I><SPAN STYLE=\"word-break: break-all;\"> if the numerator of a certain fraction is increased by 6 and its denominator is decreased by 5, the resulting fraction is equal to 3/4.<BR>\n" );
document.write( " If the reciprocal of the original fraction is decreased by 1 the resulting fraction is 16/9. 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 #502409 by </B><A HREF=/tutors/aboutme.mpl?userid=richwmiller><B>richwmiller(17219)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richwmiller><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=richwmiller><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=502409\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (n+6)/(d-5)=3/4,<BR>\n" );
document.write( "(d)/(n)-1=16/9<BR>\n" );
document.write( "d = 25,   n = 9<BR>\n" );
document.write( "check<BR>\n" );
document.write( "9+6/25-5=15/20=3/4<BR>\n" );
document.write( "25/9-9/9=16/9<BR>\n" );
document.write( "ok </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );