document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=871085>Question 871085</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What number is between 6/11 and 0.67? 0.67 is a repeating decimal. \r<BR>\n" );
document.write( "\n" );
document.write( "A. 11/18\r<BR>\n" );
document.write( "\n" );
document.write( "B. 69/99\r<BR>\n" );
document.write( "\n" );
document.write( "C. 24/33\r<BR>\n" );
document.write( "\n" );
document.write( "D. 26/55 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #525323 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=525323\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If by 0.67 you mean a repeating decimal, it must be<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%220.66666+.+.+.%22=2%2F3 ALIGN=MIDDLE  ALT=\"%220.66666+.+.+.%22=2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <BR>\n" );
document.write( "It would be easy to use a calculator to get an approximate decimal value for<BR>\n" );
document.write( "all the fractions and compare those approximate decimal values, but I assume calculators are not allowed.<BR>\n" );
document.write( " <BR>\n" );
document.write( "Two of the fractions given can be simplified, and simplifying may help.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=69%2F99=3%2A23%2F%283%2A33%29=23%2F33 ALIGN=MIDDLE  ALT=\"69%2F99=3%2A23%2F%283%2A33%29=23%2F33\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24%2F33=3%2A8%2F%283%2A11%29=8%2F11 ALIGN=MIDDLE  ALT=\"24%2F33=3%2A8%2F%283%2A11%29=8%2F11\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <BR>\n" );
document.write( "We can easily compare <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F11 ALIGN=MIDDLE  ALT=\"6%2F11\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F3 ALIGN=MIDDLE  ALT=\"2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > to each other and to<BR>\n" );
document.write( "B. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=69%2F99=23%2F33 ALIGN=MIDDLE  ALT=\"69%2F99=23%2F33\"   DISABLED_style= \"max-width:90%; height:auto;\" > and C. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24%2F33 ALIGN=MIDDLE  ALT=\"24%2F33\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "if we express all four fractions with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=33 ALIGN=MIDDLE  ALT=\"33\"   DISABLED_style= \"max-width:90%; height:auto;\" > as a denominator<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F11=6%2A3%2F%2811%2A3%29=18%2F33 ALIGN=MIDDLE  ALT=\"6%2F11=6%2A3%2F%2811%2A3%29=18%2F33\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F3=2%2A11%2F%283%2A11%29=22%2F33 ALIGN=MIDDLE  ALT=\"2%2F3=2%2A11%2F%283%2A11%29=22%2F33\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F11=18%2F33%3C22%2F33%3C23%2F33%3C24%2F33 ALIGN=MIDDLE  ALT=\"6%2F11=18%2F33%3C22%2F33%3C23%2F33%3C24%2F33\"   DISABLED_style= \"max-width:90%; height:auto;\" > shows us that<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F11%3C2%2F3 ALIGN=MIDDLE  ALT=\"6%2F11%3C2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > and that<BR>\n" );
document.write( "the answer is neither B. nor C.<BR>\n" );
document.write( " <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F11=6%2A5%2F%2811%2A5%29=30%2F55 ALIGN=MIDDLE  ALT=\"6%2F11=6%2A5%2F%2811%2A5%29=30%2F55\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=26%2F55%3C30%2F55=6%2F11%3C2%2F3 ALIGN=MIDDLE  ALT=\"26%2F55%3C30%2F55=6%2F11%3C2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > and D. is not the answer either.<BR>\n" );
document.write( " <BR>\n" );
document.write( "The answer must be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28A%29 ALIGN=MIDDLE  ALT=\"highlight%28A%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > because that's all that is left.<BR>\n" );
document.write( " <BR>\n" );
document.write( "Let's verify, anyway.<BR>\n" );
document.write( "To compare <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11%2F18 ALIGN=MIDDLE  ALT=\"11%2F18\"   DISABLED_style= \"max-width:90%; height:auto;\" > to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F3 ALIGN=MIDDLE  ALT=\"2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F11 ALIGN=MIDDLE  ALT=\"6%2F11\"   DISABLED_style= \"max-width:90%; height:auto;\" > we can use as a common denominator<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=198=18%2A11=3%2A6%2A11=3%2A66 ALIGN=MIDDLE  ALT=\"198=18%2A11=3%2A6%2A11=3%2A66\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11%2F18=11%2A11%2F%2818%2A11%29=121%2F198 ALIGN=MIDDLE  ALT=\"11%2F18=11%2A11%2F%2818%2A11%29=121%2F198\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F3=2%2A66%2F%283%2A66%29=132%2F198 ALIGN=MIDDLE  ALT=\"2%2F3=2%2A66%2F%283%2A66%29=132%2F198\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F11=6%2A18%2F%2811%2A18%29=108%2F198 ALIGN=MIDDLE  ALT=\"6%2F11=6%2A18%2F%2811%2A18%29=108%2F198\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F11=108%2F198%3C121%2F198%3C132%2F98=2%2F3 ALIGN=MIDDLE  ALT=\"6%2F11=108%2F198%3C121%2F198%3C132%2F98=2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F11%3Chighlight%2811%2F18%29%3C2%2F3 ALIGN=MIDDLE  ALT=\"6%2F11%3Chighlight%2811%2F18%29%3C2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );