document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=243869>Question 243869</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Trying to assist 13 yr old son..\r<BR>\n" );
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document.write( "Just when I think there wont be a problem helping him cause he says it's LCD'S mom. I look at the problem and it involves fractions and LCD'S, these I do not know how to do. Any help much appreciated..\r<BR>\n" );
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document.write( "1. 5/x-6,7/x^2-12x+36\r<BR>\n" );
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document.write( "2.5/7ab^5,2/7a^3b^3\r<BR>\n" );
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document.write( "Can anyone help me with these problems?\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #178601 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=178601\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1. 5/x-6,7/x^2-12x+36\r<BR>\n" );
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document.write( "I'm not sure what they want done with these.\r<BR>\n" );
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document.write( "5/(x-6) separated by a comma, and then 7/(x^2-12x+36)\r<BR>\n" );
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document.write( "Are they asking for the common denominator?\r<BR>\n" );
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document.write( "If so, you would multiply <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F%28x-6%29 ALIGN=MIDDLE  ALT=\"5%2F%28x-6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2-12x%2B36%29%2F%28x%5E2-12x%2B36%29 ALIGN=MIDDLE  ALT=\"%28x%5E2-12x%2B36%29%2F%28x%5E2-12x%2B36%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and you would multiply <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%2F%28x%5E2-12x%2B36%29 ALIGN=MIDDLE  ALT=\"7%2F%28x%5E2-12x%2B36%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-6%29%2F%28x-6%29 ALIGN=MIDDLE  ALT=\"%28x-6%29%2F%28x-6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "You would get:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285+%2A+%28x%5E2-12x%2B36%29%29+%2F+%28%28x-6%29%2A%28x%5E2-12x%2B36%29%29 ALIGN=MIDDLE  ALT=\"%285+%2A+%28x%5E2-12x%2B36%29%29+%2F+%28%28x-6%29%2A%28x%5E2-12x%2B36%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and you would get:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%287%2A%28x-6%29%29+%2F+%28%28x-6%29%2A%28x%5E2-12x%2B36%29%29 ALIGN=MIDDLE  ALT=\"%287%2A%28x-6%29%29+%2F+%28%28x-6%29%2A%28x%5E2-12x%2B36%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "These would now have common denominators.\r<BR>\n" );
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document.write( "In general, you get a common denominator by multiplying one of the fractions by the denominator of the other fraction and vice versa.\r<BR>\n" );
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document.write( "you have a/b + c/d\r<BR>\n" );
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document.write( "multiply a/b by d/d to get ad/bd\r<BR>\n" );
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document.write( "multiply c/d by b/b to get cb/bd\r<BR>\n" );
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document.write( "now that you have common denominators, you can add them together.\r<BR>\n" );
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document.write( "you would get:\r<BR>\n" );
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document.write( "ad/bd + cb/bd = (ad+cb)/bd\r<BR>\n" );
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document.write( "To put that into number, you might start off with:\r<BR>\n" );
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document.write( "2/4 + 3/5\r<BR>\n" );
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document.write( "you would multiply 2/4 * 5/5 to get 10/20\r<BR>\n" );
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document.write( "you would multiply 3/5 by 4/4 to get 12/20\r<BR>\n" );
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document.write( "they now have common denominators.\r<BR>\n" );
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document.write( "you add 10/20 + 12/20 to get 22/20 which is your answer.\r<BR>\n" );
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document.write( "to confirm, use your calculator.\r<BR>\n" );
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document.write( "calculate 2/4 to get .5<BR>\n" );
document.write( "calculate 3/5 to get .6<BR>\n" );
document.write( "add them together to get 1.1\r<BR>\n" );
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document.write( "calculate 22/20 to get 1.1\r<BR>\n" );
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document.write( "they are the same.\r<BR>\n" );
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document.write( "your algebraic fractions work the same way.\r<BR>\n" );
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document.write( "2.5/7ab^5,2/7a^3b^3\r<BR>\n" );
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document.write( "I'm assuming you need to find the common denominator again.\r<BR>\n" );
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document.write( "multiply your first equation by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%287%2Aa%5E3%2Ab%5E3%29%2F%287%2Aa%5E3%2Ab%5E3%29 ALIGN=MIDDLE  ALT=\"%287%2Aa%5E3%2Ab%5E3%29%2F%287%2Aa%5E3%2Ab%5E3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282.5+%2A+%287+%2A+a%5E3+%2A+b%5E3%29%29+%2F+%28%287+%2A+a+%2A+b%5E5%29+%2A+%287+%2A+a%5E3+%2A+b%5E3%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "multiply your second equation by (7*a*b^5) / (7*a*b^5) to get:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282+%2A+%287+%2A+a+%2A+b%5E5%29%29+%2F+%28%287+%2A+a+%2A+b%5E5%29+%2A+%287+%2A+a%5E3+%2A+b%5E3%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "They now have common denominators of ((7 * a * b^5) * (7 * a^3 * b^3))\r<BR>\n" );
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document.write( "If they did not ask you to simplify your equations, then you are done.\r<BR>\n" );
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document.write( "If they asked you to simplify your equations, then you have to combine like terms as well.\r<BR>\n" );
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document.write( "For example:\r<BR>\n" );
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document.write( "((7 * a * b^5) * (7 * a^3 * b^3)) can be simplifed further to be:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=49%2Aa%5E4%2Ab8 ALIGN=MIDDLE  ALT=\"49%2Aa%5E4%2Ab8\"   DISABLED_style= \"max-width:90%; height:auto;\" > because <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%2A7+=+49 ALIGN=MIDDLE  ALT=\"7%2A7+=+49\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2Aa%5E3+=+a%5E4 ALIGN=MIDDLE  ALT=\"a%2Aa%5E3+=+a%5E4\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E5%2Ab%5E3+=+b%5E8 ALIGN=MIDDLE  ALT=\"b%5E5%2Ab%5E3+=+b%5E8\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Some websites that might be able to help you are:\r<BR>\n" );
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