document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=972605>Question 972605</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The ratio of the numerator to the denominator of a certain fraction is three to five. If two is added to the numerator and five is subtracted from the denominator, the new fraction reduces to four-fifths. 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 #594897 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=594897\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The ratio of the numerator to the denominator of a certain fraction is three to five. If two is added to the numerator and five is subtracted from the denominator, the new fraction reduces to four-fifths. Find the original fraction.<BR>\n" );
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document.write( "Original is 3x/5x<BR>\n" );
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document.write( "(3x+2)/(5x-5) = 4/5<BR>\n" );
document.write( "5(3x+2) = 4(5x-5)<BR>\n" );
document.write( "15x+10 = 20x-20<BR>\n" );
document.write( "30 = 5x<BR>\n" );
document.write( "x = 6<BR>\n" );
document.write( "--> 18/30<BR>\n" );
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