document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=599990>Question 599990</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The numerator of a fraction is 2 more than the denominator. If denominator is doubled at the numerator is decreased by 1, the sum of the original fraction and the new one is 7/3. 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 #379148 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=379148\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The numerator of a fraction is 2 more than the denominator.<BR>\n" );
document.write( " If denominator is doubled and the numerator is decreased by 1, the sum of the original fraction and the new one is 7/3.<BR>\n" );
document.write( " Find the original fraction.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let x = the denominator<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(x+2) = the numerator<BR>\n" );
document.write( ":<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x%2B2%29%29%2Fx ALIGN=MIDDLE  ALT=\"%28%28x%2B2%29%29%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the original fraction<BR>\n" );
document.write( ":<BR>\n" );
document.write( "the equation for the statement:<BR>\n" );
document.write( "\"If denominator is doubled and the numerator is decreased by 1, the sum of the original fraction and the new one is 7/3.\"<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x%2B1%29%29%2F%282x%29 ALIGN=MIDDLE  ALT=\"%28%28x%2B1%29%29%2F%282x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x%2B2%29%29%2Fx ALIGN=MIDDLE  ALT=\"%28%28x%2B2%29%29%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%2F3 ALIGN=MIDDLE  ALT=\"7%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply by 6x<BR>\n" );
document.write( "6x*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x%2B1%29%29%2F%282x%29 ALIGN=MIDDLE  ALT=\"%28%28x%2B1%29%29%2F%282x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > + 6x*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x%2B2%29%29%2Fx ALIGN=MIDDLE  ALT=\"%28%28x%2B2%29%29%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 6x*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%2F3 ALIGN=MIDDLE  ALT=\"7%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "cancel the denominators and you have<BR>\n" );
document.write( "3(x+1) + 6(x+2) = 2x(7)<BR>\n" );
document.write( "3x + 3 + 6x + 12 = 14x<BR>\n" );
document.write( "9x + 15 = 14x<BR>\n" );
document.write( "15 = 14x - 9x<BR>\n" );
document.write( "15 = 5x<BR>\n" );
document.write( "x = 15/5<BR>\n" );
document.write( "x = 3<BR>\n" );
document.write( ":<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F3 ALIGN=MIDDLE  ALT=\"5%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the original fraction </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );