document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=944231>Question 944231</A>: <I><SPAN STYLE=\"word-break: break-all;\"> divide 3/4 by 1/2, 1/4, 1/8, and 1/12 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #575763 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=575763\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> dividing by a number is the same as multiplying by its reciprocal.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "for example:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "5/4 = 5 * 1/4\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "this works with fractions as well.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "5 / (1/4) = 5 * 4 because the reciprocal of 1/4 is 4.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "5 / (2/3) = 5 * 3/2 because the reciprocal orf 2/3 is 3/2.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the same concept is applied to your problems.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "(3/4) / (1/2) is equal to (3/4) * (2/1) which is equal to (3*2) / (4*1) which is equal to 6/4 which can be simplified to 3/2.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "(3/4) / (1/4) is equal to (3/4) * (4/1) which is equal to (3*4) / (4*1) which is equal to 12/4 which is equal to 3.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "(3/4) / (1/8) is equal to (3/4) * (8/1) which is equal to (3*8) / (4*1) which is equal to 24 / 4 which is equal to 6.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "(3/4) / (1/12) is equal to (3/4) * (12/1) which is equal to (3*12) / (4*1) which is equal to 36 / 4 which is equal to 9.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "you can confirm using your calculator.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "don't forget to use parentheses when you make your entries into the calculator if you do it all in one shot.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "using the calculator:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "(3/4) / (1/2) = 1.5 which is the same as 3/2.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "(3/4) / (1/4) = 3\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "(3/4) / (1/8) = 6\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "(3/4) / (1/12) = 9\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );