document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=251995>Question 251995</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given S = ( 1/2 , 1/3 , 2/3, 3/4 , 5/8 , 5/16 , 15/32 ) \r<BR>\n" );
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document.write( "What is the least positive difference between two distinct numbers from set S? \r<BR>\n" );
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document.write( "A. 1/48  B. 1/32  C. 1/24   D. 1/12   E. 1/8<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #183740 by </B><A HREF=/tutors/aboutme.mpl?userid=richwmiller><B>richwmiller(17219)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richwmiller><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=richwmiller><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=183740\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> We need to get the lcd= lowest common denominator which is 96\r<BR>\n" );
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document.write( "We need something with factors 3 and 32 so  3*32=96<BR>\n" );
document.write( "All the others 2,4,8,16  are factors of 32.<BR>\n" );
document.write( "1/2 =48/96<BR>\n" );
document.write( "1/3 =32/96<BR>\n" );
document.write( "2/3 =64/96 <BR>\n" );
document.write( "3/4 = 24/96 <BR>\n" );
document.write( "5/8 =60/96 <BR>\n" );
document.write( "5/16 =30/96 <BR>\n" );
document.write( "15/32 =15/96<BR>\n" );
document.write( "looks like the closest fractions are 64/96 and 60/96 with a difference of 4/96\r<BR>\n" );
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document.write( "fractions in answers<BR>\n" );
document.write( "a-1/48=2/96<BR>\n" );
document.write( "b-1/32=3/96<BR>\n" );
document.write( "c-1/24=4/96<BR>\n" );
document.write( "d-1/12=8/96<BR>\n" );
document.write( "e-1/8=12/96<BR>\n" );
document.write( "so I choose c. 1/24 which equals 4/96 </SPAN>\n" );
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