document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=190905>Question 190905</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello. I am not positive I put in the right topic. We are learning complex algebraic fractions. I solved a problem, and I am not sure if i solved it correctly, and if I did I am not sure how to show the work for the check. the problem is x-1/x + 7/3x = 9/4x <BR>\n" );
document.write( "we have to cancel the denominators by finding an LCD and multiplying by that. <BR>\n" );
document.write( "EX: LCD for the above problem is 12x, so i would x x-1 x 12x and the x and 12 x simplify it to 12x-12. \r<BR>\n" );
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document.write( "The answer i got is 11/12, but I am not sure if it is correct.<BR>\n" );
document.write( "If not, please provide help on solving it because I am quite confused, and if you don't mind please assist me in the check (if the correct solution is a fraction because my teacher goes too fast and never stops so I am not able to ask for help) \r<BR>\n" );
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document.write( "thank you so much for your help :)\r<BR>\n" );
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document.write( "~Katie  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #143350 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=143350\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  the problem is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x-1%29%29%2Fx ALIGN=MIDDLE  ALT=\"%28%28x-1%29%29%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%2F%283x%29 ALIGN=MIDDLE  ALT=\"7%2F%283x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2F%284x%29 ALIGN=MIDDLE  ALT=\"9%2F%284x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "I think you are right but let's just go thru it and check the solution<BR>\n" );
document.write( "12x*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x-1%29%29%2Fx ALIGN=MIDDLE  ALT=\"%28%28x-1%29%29%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" > + 12x*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%2F%283x%29 ALIGN=MIDDLE  ALT=\"7%2F%283x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 12x*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2F%284x%29 ALIGN=MIDDLE  ALT=\"9%2F%284x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Cancel out the denominators and you have:<BR>\n" );
document.write( "12(x-1) + 4(7) = 3(9)<BR>\n" );
document.write( "12x - 12 + 28 = 27<BR>\n" );
document.write( "12x + 16 = 27<BR>\n" );
document.write( "12x = 27 - 16<BR>\n" );
document.write( "12x = 11<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11%2F12 ALIGN=MIDDLE  ALT=\"11%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" > just as you said<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "But you can be sure by substituting 11/12 for x in the original problem:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x-1%29%29%2Fx ALIGN=MIDDLE  ALT=\"%28%28x-1%29%29%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%2F%283x%29 ALIGN=MIDDLE  ALT=\"7%2F%283x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2F%284x%29 ALIGN=MIDDLE  ALT=\"9%2F%284x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Remember when you have a fraction in the denominator, you invert it and mult<BR>\n" );
document.write( "the numerator: <BR>\n" );
document.write( "((11/12) - 1)*(12/11)) + 7(12/33) = 9(12/44)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "((-1/12)*(12/11)) + 7(12/33) = 9(12/44)<BR>\n" );
document.write( ";<BR>\n" );
document.write( "(-1/11) + (84/33) = (108/44)<BR>\n" );
document.write( ";<BR>\n" );
document.write( "Reduce the fractions<BR>\n" );
document.write( "(-1/11) + (28/11) = (27/11); confirms our solution </SPAN>\n" );
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