document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=683653>Question 683653</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Good day to you.  My daughter is having a problem with algebra word problems, can you please help me, i am not so good at this either.\r<BR>\n" );
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document.write( "The denominator of a fraction is 1 more than twice the numerator.  If 4 is added to the numerator and subtracted from the denominator, the result is the reciprocal of the fraction.  Find the original fraction.\r<BR>\n" );
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document.write( "Thank you very much! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #423649 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=423649\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The denominator of a fraction is 1 more than twice the numerator.  If 4 is added to the numerator and subtracted from the denominator, the result is the reciprocal of the fraction.  Find the original fraction.<BR>\n" );
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document.write( "OF = x/(2x + 1)<BR>\n" );
document.write( "(x+4)/(2x-3) = 1/OF = (2x+1)/x<BR>\n" );
document.write( "(x+4)/(2x-3) = (2x+1)/x<BR>\n" );
document.write( "Cross multiply<BR>\n" );
document.write( "x(x+4) = (2x-3)*2x+1)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+%2B+4x+=+4x%5E2+-+4x+-+3 ALIGN=MIDDLE  ALT=\"x%5E2+%2B+4x+=+4x%5E2+-+4x+-+3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%5E2+-+8x+-+3+=+0 ALIGN=MIDDLE  ALT=\"3x%5E2+-+8x+-+3+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(3x + 1)*(x - 3) = 0<BR>\n" );
document.write( "x = 3 --> OF = 3/7<BR>\n" );
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document.write( "x = -1/3 --> OF = -1<BR>\n" );
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