document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=900906>Question 900906</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello, can someone please explain how or why the final answer is reduced  <BR>\n" );
document.write( "   = 1346.8 = 6734/5,<BR>\n" );
document.write( "        F = 6734/(5*999) = 6734/4995 = 182/135<BR>\n" );
document.write( "I am confused on this and was hoping someone could elaborate on this method of reduction..is it a property that has a name etc. Thanks<BR>\n" );
document.write( "here is the whole problem example that I am studying.\r<BR>\n" );
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document.write( "  F =    1.3481481481481...<BR>\n" );
document.write( "   1000 F = 1348.1481481481481...<BR>\n" );
document.write( "    999 F = 1346.8000000000000...<BR>\n" );
document.write( "          = 1346.8 = 6734/5,<BR>\n" );
document.write( "        F = 6734/(5*999) = 6734/4995 = 182/135 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #546293 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=546293\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You are being asked to show that F is a rational number.<BR>\n" );
document.write( "It is rational because it is a repeating decimal form.<BR>\n" );
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document.write( "How to work it::<BR>\n" );
document.write( "F = 1.3481481481481...<BR>\n" );
document.write( "Since the repeat starts after the 3, multiply by 10 to get:<BR>\n" );
document.write( "10F = 13.481481...<BR>\n" );
document.write( "Since the repeat extends to the thousands place, multiply by 1000 to get:<BR>\n" );
document.write( "10,000F = 13481.481481...<BR>\n" );
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document.write( "You have isolated the infinite repeating portion of F.<BR>\n" );
document.write( "Subtract to get:<BR>\n" );
document.write( "(10,000-10)F = 13481-13 <BR>\n" );
document.write( "9990F = 13468<BR>\n" );
document.write( "----<BR>\n" );
document.write( "F = 13468/9990 (which mean F is rational)<BR>\n" );
document.write( "You could reduce this to <BR>\n" );
document.write( "F = 6734/4995<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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document.write( " </SPAN>\n" );
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