document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1201447>Question 1201447</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The denominator of a fraction is 8 more than the numerator. If both the numerator and denominator are decreased by 5, then the resulting fraction becomes 2/3. 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 #853545 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13305)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=853545\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "A solution using logical reasoning instead of formal algebra....<br><BR>\n" );
document.write( "When 5 is subtracted from both numerator and denominator of a fraction, the difference between the numerator and denominator remains unchanged.<br><BR>\n" );
document.write( "In the fraction 2/3 that we want to end up with, the difference between the numerator and denominator is 1.<br><BR>\n" );
document.write( "We need an equivalent fraction in which the numerator and denominator have a difference of 8.  To find that fraction, simply multiply numerator and denominator of 2/3 by 8 to get the fraction 16/24.<br><BR>\n" );
document.write( "That fraction 16/24 is the fraction we need to have after subtracting 5 from both numerator and denominator of the original fraction, so the original fraction is (16+5)/(24+5) = 21/29.<br><BR>\n" );
document.write( "ANSWER: 21/29<br><BR>\n" );
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