document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=871083>Question 871083</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What number is between 0.6 and 7/9?\r<BR>\n" );
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document.write( "A. 23/27\r<BR>\n" );
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document.write( "B. 20/27\r<BR>\n" );
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document.write( "C. 14/27\r<BR>\n" );
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document.write( "D. 1/3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #525320 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=525320\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I assume that calculating approximate decimal values with a calculator and comparing them is considered cheating.<BR>\n" );
document.write( "The traditional way to compare fractions, is to express them all with a common denominator.<BR>\n" );
document.write( "Sometimes, depending on the particular numbers, there is an easier way, but I do not see an easier way this time.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=27=3%2A9=3%2A3%2A3 ALIGN=MIDDLE  ALT=\"27=3%2A9=3%2A3%2A3\"   DISABLED_style= \"max-width:90%; height:auto;\" > is a multiple of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3 ALIGN=MIDDLE  ALT=\"3\"   DISABLED_style= \"max-width:90%; height:auto;\" > and a multiple of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9 ALIGN=MIDDLE  ALT=\"9\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<BR>\n" );
document.write( "but <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=27 ALIGN=MIDDLE  ALT=\"27\"   DISABLED_style= \"max-width:90%; height:auto;\" > has no factor in common with prime number <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5 ALIGN=MIDDLE  ALT=\"5\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "so the least common multiple (the smallest common denominator) is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=135=27%2A5=3%2A9%2A5=3%2A%289%2A5%29=3%2A45=9%2A%283%2A5%29=9%2A15 ALIGN=MIDDLE  ALT=\"135=27%2A5=3%2A9%2A5=3%2A%289%2A5%29=3%2A45=9%2A%283%2A5%29=9%2A15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.6=6%2F10=3%2F5=3%2A27%2F%285%2A27%29=81%2F135 ALIGN=MIDDLE  ALT=\"0.6=6%2F10=3%2F5=3%2A27%2F%285%2A27%29=81%2F135\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%2F9=7%2A15%2F%289%2A15%29=105%2F135 ALIGN=MIDDLE  ALT=\"7%2F9=7%2A15%2F%289%2A15%29=105%2F135\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "A. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=23%2F27=23%2A5%2F%2827%2A5%29=115%2F135%3E103%2F135=7%2F9 ALIGN=MIDDLE  ALT=\"23%2F27=23%2A5%2F%2827%2A5%29=115%2F135%3E103%2F135=7%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=23%2F27 ALIGN=MIDDLE  ALT=\"23%2F27\"   DISABLED_style= \"max-width:90%; height:auto;\" > is not between <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=81%2F135=0.6 ALIGN=MIDDLE  ALT=\"81%2F135=0.6\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=105%2F135=7%2F9 ALIGN=MIDDLE  ALT=\"105%2F135=7%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "B. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20%2F27=20%2A5%2F%2827%2A5%29=100%2F135 ALIGN=MIDDLE  ALT=\"20%2F27=20%2A5%2F%2827%2A5%29=100%2F135\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "If there is only one right answer,<BR>\n" );
document.write( "since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=81%2F135%3C100%2F135%3C105%2F135 ALIGN=MIDDLE  ALT=\"81%2F135%3C100%2F135%3C105%2F135\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.6%3Chighlight%2820%2F27%29%3C7%2F9 ALIGN=MIDDLE  ALT=\"0.6%3Chighlight%2820%2F27%29%3C7%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <BR>\n" );
document.write( "In fact the other two numbers are not between <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=81%2F135=0.6 ALIGN=MIDDLE  ALT=\"81%2F135=0.6\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=105%2F135=7%2F9 ALIGN=MIDDLE  ALT=\"105%2F135=7%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" > :<BR>\n" );
document.write( "C. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=14%2F27=14%2A5%2F%2827%2A5%29=70%2F135%3C81%2F135=0.6 ALIGN=MIDDLE  ALT=\"14%2F27=14%2A5%2F%2827%2A5%29=70%2F135%3C81%2F135=0.6\"   DISABLED_style= \"max-width:90%; height:auto;\" > and<BR>\n" );
document.write( "D. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F3=1%2A45%2F%283%2A45%29=45%2F135%3C81%2F135=0.6 ALIGN=MIDDLE  ALT=\"1%2F3=1%2A45%2F%283%2A45%29=45%2F135%3C81%2F135=0.6\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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