document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=196802>Question 196802</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can you please explain how to solve this:<BR>\n" );
document.write( " rational expression division    z+5/z divided by 3z+15/4z </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #147523 by </B><A HREF=/tutors/aboutme.mpl?userid=Anthea+Lawn><B>Anthea Lawn(22)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Anthea+Lawn><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=147523\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> No worries - one fraction divided by another is the same as the first fraction MULTIPLIED by the second fraction UPSIDE DOWN.\r<BR>\n" );
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document.write( "In other words a half divided by a third is equal to a half multiplied by three = one and a half.\r<BR>\n" );
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document.write( "In your case, we'll flip the second fraction upside down and then multiply :\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28z%2B5%29%2Fz ALIGN=MIDDLE  ALT=\"%28z%2B5%29%2Fz\"   DISABLED_style= \"max-width:90%; height:auto;\" >   X    <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4z%2F%283z%2B15%29 ALIGN=MIDDLE  ALT=\"4z%2F%283z%2B15%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The 4z on the top cancels out with the z on the bottom to leave a 4.\r<BR>\n" );
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document.write( "Now we have 4   X  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28z%2B5%29%2F%283z%2B15%29 ALIGN=MIDDLE  ALT=\"%28z%2B5%29%2F%283z%2B15%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "(3z + 15) is three times (z+5) so we can cancel these out too to give a final answer of  4/3 = one and a third.  \r<BR>\n" );
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document.write( "This is true for all values of z. (except where z = 0 for which (z+5)/z is clearly a division by zero) </SPAN>\n" );
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