document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=130067>Question 130067</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I'm not sure if I'm understanding this word problem correctly, could I have some help, thanks. The reciprocal of two more than a number is three fourths of the reciprocal of the number itself. what is the number? I have the expression x+2x=3/4 answer x=1/4 Is this correct? Please let me know, if not could you help me understand it, thank you. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #94987 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=94987\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let n be the required number.<BR>\n" );
document.write( "\"The reciprocal of 2 more than a number...\" can be expressed as:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%28n%2B2%29 ALIGN=MIDDLE  ALT=\"1%2F%28n%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "\"...three fourths of the reciprocal of the number itself.\" can be expressed as:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%2F4%29%281%2Fn%29 ALIGN=MIDDLE  ALT=\"%283%2F4%29%281%2Fn%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Setting these two equal to each other we get:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%28n%2B2%29+=+%283%2F4%29%281%2Fn%29 ALIGN=MIDDLE  ALT=\"1%2F%28n%2B2%29+=+%283%2F4%29%281%2Fn%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%28n%2B2%29+=+3%2F4n ALIGN=MIDDLE  ALT=\"1%2F%28n%2B2%29+=+3%2F4n\"   DISABLED_style= \"max-width:90%; height:auto;\" > Cross-multiply by the denominators.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4n+=+3%28n%2B2%29 ALIGN=MIDDLE  ALT=\"4n+=+3%28n%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4n+=+3n+%2B+6 ALIGN=MIDDLE  ALT=\"4n+=+3n+%2B+6\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 3n from both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n+=+6 ALIGN=MIDDLE  ALT=\"n+=+6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The number is 6.\r<BR>\n" );
document.write( "\n" );
document.write( "Check:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%28n%2B2%29+=+%283%2F4%29%281%2Fn%29 ALIGN=MIDDLE  ALT=\"1%2F%28n%2B2%29+=+%283%2F4%29%281%2Fn%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Substitute n = 6.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%28n%2B2%29+=+%283%2F4%29%281%2F6%29 ALIGN=MIDDLE  ALT=\"1%2F%28n%2B2%29+=+%283%2F4%29%281%2F6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F8+=+3%2F24 ALIGN=MIDDLE  ALT=\"1%2F8+=+3%2F24\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F8+=+1%2F8 ALIGN=MIDDLE  ALT=\"1%2F8+=+1%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" > It checks! </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );