document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1015588>Question 1015588</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Fractions <BR>\n" );
document.write( "Rewrite descending (decreasing)order.<BR>\n" );
document.write( "(a)2/9,4/5,1/3,3/25,15/16 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #631957 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=631957\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> your fractions are:\r<BR>\n" );
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document.write( "2/9<BR>\n" );
document.write( "4/5<BR>\n" );
document.write( "1/3<BR>\n" );
document.write( "3/25<BR>\n" );
document.write( "15/16\r<BR>\n" );
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document.write( "2/9 and 1/3 and 3/25 are less than half so they're going to be smaller than 4/5 and 15/16, so re-order as follows:\r<BR>\n" );
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document.write( "2/9<BR>\n" );
document.write( "1/3<BR>\n" );
document.write( "3/25<BR>\n" );
document.write( "4/5<BR>\n" );
document.write( "15/16\r<BR>\n" );
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document.write( "1/3 is equal to 3/9, so 1/3 is bigger than 2/9, so leave them as is.\r<BR>\n" );
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document.write( "compare 3/25 to 2/9\r<BR>\n" );
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document.write( "a common multiple will be 9 * 25 = 225.\r<BR>\n" );
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document.write( "multiply 3/25 by 9/9 and multiply 2/9 by 25/25 and you will get:\r<BR>\n" );
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document.write( "3/25 is equivalent to 27/225 and 2/9 is equivalent to 50/225.\r<BR>\n" );
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document.write( "since 50 is greater than 27, 2/9 is bigger than 3/25 which means that 3/25 is smaller than 2/9 so reorder your sequence to get:\r<BR>\n" );
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document.write( "2/9<BR>\n" );
document.write( "1/3<BR>\n" );
document.write( "3/25<BR>\n" );
document.write( "4/5<BR>\n" );
document.write( "15/16\r<BR>\n" );
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document.write( "becomes:\r<BR>\n" );
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document.write( "3/25<BR>\n" );
document.write( "2/9<BR>\n" );
document.write( "1/3<BR>\n" );
document.write( "4/5<BR>\n" );
document.write( "15/16\r<BR>\n" );
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document.write( "now all you need to do is figure out whether 4/5 is bigger than 15/16 or vice versa.\r<BR>\n" );
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document.write( "a common multiple is 5 * 16 = 80.\r<BR>\n" );
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document.write( "multiply 4/5 by 16/16 and multiply 15/16 by 5/5 to get:<BR>\n" );
document.write( "4/5 * 16/16 = 64/80 and 15/16 = 75/80.<BR>\n" );
document.write( "that says that 15/16 is bigger than 4/5.\r<BR>\n" );
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document.write( "since 15/16 is already below 4/5, your sequence stays the same at:\r<BR>\n" );
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document.write( "3/25<BR>\n" );
document.write( "2/9<BR>\n" );
document.write( "1/3<BR>\n" );
document.write( "4/5<BR>\n" );
document.write( "15/16\r<BR>\n" );
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document.write( "you can easily confirm if you did it right by using a calculator and converting all the fractions to decimals.\r<BR>\n" );
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document.write( "3/25 = .12<BR>\n" );
document.write( "2/9 = .22.....<BR>\n" );
document.write( "1/3 = .33.....<BR>\n" );
document.write( "4/5 = .8<BR>\n" );
document.write( "15/16 = .9375\r<BR>\n" );
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document.write( "they're in order.\r<BR>\n" );
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document.write( "however, you were asked to find descending order rather than ascending order.\r<BR>\n" );
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document.write( "all you need to do is reverse the order to get:\r<BR>\n" );
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document.write( "15/16<BR>\n" );
document.write( "4/5<BR>\n" );
document.write( "1/3<BR>\n" );
document.write( "2/9<BR>\n" );
document.write( "3/25\r<BR>\n" );
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document.write( "now they're in descending order and you're done.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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