document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=149353>Question 149353</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Multiplying and Dividing Rational Expressions....\r<BR>\n" );
document.write( "\n" );
document.write( "1)(16x^2/y^4)Multiplied by (5x^2/y^2)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "2) (6x^5y^3/5z^3)Multiplied by(6x^4/5yz^4)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "3) (x^2+7x+12/x+4) Multiplied by (1/x+3)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "4) (25xy^2/7z) Divided By (5x^2y^2/14z^2)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "5)(x^2-12x+32/x^2-6x-16)Divided by (x^2-x-12/x^2-5x-24)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "I am aware that when you multiply and divide ration expressions the denominators must be the same, but I am unaware as to how to go about this. Can you please help me if at all possible with these questions so I can further apply these methods to the rest of my homework....... </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #109565 by </B><A HREF=/tutors/aboutme.mpl?userid=vleith><B>vleith(2983)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=vleith><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=109565\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> When add or subtract fraction, the denominators must be the same. That is not the case when you multiply or divide.\r<BR>\n" );
document.write( "\n" );
document.write( "If I asked you to multiply <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F3 ALIGN=MIDDLE  ALT=\"1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > * <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F2 ALIGN=MIDDLE  ALT=\"1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F3+%2A+1%2F2 ALIGN=MIDDLE  ALT=\"1%2F3+%2A+1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > you would say <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F6 ALIGN=MIDDLE  ALT=\"1%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" >. No need to get a common denominator. Just multiply the numerators together. Then put that result over the product of the denominators. Then simplify if possible.\r<BR>\n" );
document.write( "\n" );
document.write( "So let;s do the first one.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2816x%5E2%2Fy%5E4%29+%2A+%285x%5E2%2Fy%5E2%29 ALIGN=MIDDLE  ALT=\"%2816x%5E2%2Fy%5E4%29+%2A+%285x%5E2%2Fy%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2816x%5E2+%2A+5x%5E2%29+%2F%28y%5E4+%2A+y%5E2%29 ALIGN=MIDDLE  ALT=\"%2816x%5E2+%2A+5x%5E2%29+%2F%28y%5E4+%2A+y%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2880x%5E2+%2A+x%5E2%29+%2F%28y%5E6%29 ALIGN=MIDDLE  ALT=\"%2880x%5E2+%2A+x%5E2%29+%2F%28y%5E6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=80x%5E4++%2Fy%5E6 ALIGN=MIDDLE  ALT=\"80x%5E4++%2Fy%5E6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "I'll leave problem 2 for you.\r<BR>\n" );
document.write( "\n" );
document.write( "Let's look at problem 3.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x%5E2%2B7x%2B12%29%2F%28x%2B4%29%29+%2A%281%2F%28x%2B3%29%29 ALIGN=MIDDLE  ALT=\"%28%28x%5E2%2B7x%2B12%29%2F%28x%2B4%29%29+%2A%281%2F%28x%2B3%29%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%28x%2B4%29%28x%2B3%29%2F%28x%2B4%29%29+%2A%281%2F%28x%2B3%29%29 ALIGN=MIDDLE  ALT=\"%28%28x%2B4%29%28x%2B3%29%2F%28x%2B4%29%29+%2A%281%2F%28x%2B3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B3%29+%2A+%281%2F%28x%2B3%29%29 ALIGN=MIDDLE  ALT=\"%28x%2B3%29+%2A+%281%2F%28x%2B3%29%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 ALIGN=MIDDLE  ALT=\"1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "To do division, just remember that dividing a fraction by a fraction is the same as multiplying the first fraction by the reciprocal of the second one.\r<BR>\n" );
document.write( "\n" );
document.write( "So, for problem 4<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%2825xy%5E2%29%2F7z%29+%2F%28%285x%5E2y%5E2%29%2F14z%5E2%29 ALIGN=MIDDLE  ALT=\"%28%2825xy%5E2%29%2F7z%29+%2F%28%285x%5E2y%5E2%29%2F14z%5E2%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%2825xy%5E2%29%2F7z%29+%2A+%2814z%5E2%2F%285x%5E2y%5E2%29%29 ALIGN=MIDDLE  ALT=\"%28%2825xy%5E2%29%2F7z%29+%2A+%2814z%5E2%2F%285x%5E2y%5E2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "And now use the same process used in the previous problems to solve. \r<BR>\n" );
document.write( "\n" );
document.write( "Same for 5. Just remember to factor and cancel before getting too far into the work </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );