document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=205930>Question 205930</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 2.)The denominator of a fraction is 4 less than the numerator. If the denominator is doubled and the numerator is increased by 6, the sum of the original fraction and the new one is 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 #155806 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=155806\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The denominator of a fraction is 4 less than the numerator.<BR>\n" );
document.write( "d = n - 4<BR>\n" );
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document.write( " If the denominator is doubled and the numerator is increased by 6, the sum of <BR>\n" );
document.write( "the original fraction and the new one is 3.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28n%2B6%29%29%2F%282d%29 ALIGN=MIDDLE  ALT=\"%28%28n%2B6%29%29%2F%282d%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%2Fd ALIGN=MIDDLE  ALT=\"n%2Fd\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 3<BR>\n" );
document.write( "Multiply equation by 2d, results:<BR>\n" );
document.write( "(n + 6) + 2n = 3(2d)<BR>\n" );
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document.write( "3n + 6 = 6d<BR>\n" );
document.write( "Replace d with (n-4)<BR>\n" );
document.write( "3n + 6 = 6(n-4)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "3n + 6 = 6n - 24<BR>\n" );
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document.write( "6 + 24 = 6n - 3n<BR>\n" );
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document.write( "30 = 3n<BR>\n" );
document.write( "n = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30%2F3 ALIGN=MIDDLE  ALT=\"30%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "n = 10 is the numerator<BR>\n" );
document.write( "then<BR>\n" );
document.write( "d = 10 - 4 <BR>\n" );
document.write( "d = 6 is the denominator<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2F6 ALIGN=MIDDLE  ALT=\"10%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the original fraction.<BR>\n" );
document.write( ":<BR>\n" );
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document.write( "Prove this in the statement:<BR>\n" );
document.write( "\"the denominator is doubled and the numerator is increased by 6, the sum of <BR>\n" );
document.write( "the original fraction and the new one is 3.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16%2F12 ALIGN=MIDDLE  ALT=\"16%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2F6 ALIGN=MIDDLE  ALT=\"10%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16%2F12 ALIGN=MIDDLE  ALT=\"16%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20%2F12 ALIGN=MIDDLE  ALT=\"20%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=36%2F12 ALIGN=MIDDLE  ALT=\"36%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 3 </SPAN>\n" );
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