document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=89773>Question 89773</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The denominator of a certain fraction is three more than twice the numerator. If 7 are added to both terms of the fraction, the resulting fraction is 3/5. 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 #65207 by </B><A HREF=/tutors/aboutme.mpl?userid=tutorcecilia><B>tutorcecilia(2152)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=tutorcecilia><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=tutorcecilia><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=65207\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The denominator of a certain fraction is three more than twice the numerator. If 7 are added to both terms of the fraction, the resulting fraction is 3/5. Find the original fraction.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2Fy%29 ALIGN=MIDDLE  ALT=\"%28x%2Fy%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = C<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2F%282x%2B3%29%29 ALIGN=MIDDLE  ALT=\"%28x%2F%282x%2B3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=C<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x%2B7%29%2F%28%283x%2B2%29%2B7%29%29 ALIGN=MIDDLE  ALT=\"%28%28x%2B7%29%2F%28%283x%2B2%29%2B7%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F5%29 ALIGN=MIDDLE  ALT=\"3%2F5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  [original fraction]<BR>\n" );
document.write( "or<BR>\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x%2B7%29%2F%28%283x%2B9%29%29%29 ALIGN=MIDDLE  ALT=\"%28%28x%2B7%29%2F%28%283x%2B9%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F5%29 ALIGN=MIDDLE  ALT=\"3%2F5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".\r<BR>\n" );
document.write( "\n" );
document.write( " (5)(x+7)=(3)(3x+9) [cross-multiply to simplfy]<BR>\n" );
document.write( ".<BR>\n" );
document.write( "5x+35=9x+27 [solve for the x-term]<BR>\n" );
document.write( "35=9x-5x+27<BR>\n" );
document.write( "35=4x+27<BR>\n" );
document.write( "35-27=4x<BR>\n" );
document.write( "8=4x<BR>\n" );
document.write( "x=2<BR>\n" );
document.write( ".<BR>\n" );
document.write( "check by plugging (x=2) back into the original equation\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x%2B7%29%2F%28%283x%2B2%29%2B7%29%29 ALIGN=MIDDLE  ALT=\"%28%28x%2B7%29%2F%28%283x%2B2%29%2B7%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F5%29 ALIGN=MIDDLE  ALT=\"3%2F5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%282%2B7%29%2F%28%283%282%29%2B2%29%2B7%29%29 ALIGN=MIDDLE  ALT=\"%28%282%2B7%29%2F%28%283%282%29%2B2%29%2B7%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F5%29 ALIGN=MIDDLE  ALT=\"3%2F5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%289%2F15%29 ALIGN=MIDDLE  ALT=\"%289%2F15%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F5%29 ALIGN=MIDDLE  ALT=\"3%2F5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > [reducing]<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%2F5%29 ALIGN=MIDDLE  ALT=\"%283%2F5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F5%29 ALIGN=MIDDLE  ALT=\"3%2F5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > [checks out]\r<BR>\n" );
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document.write( "<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );