document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=368685>Question 368685</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Express the following repeating decimal as a fraction in the lowest term.\r<BR>\n" );
document.write( "\n" );
document.write( "______<BR>\n" );
document.write( "0.123 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #262687 by </B><A HREF=/tutors/aboutme.mpl?userid=neatmath><B>neatmath(302)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=neatmath><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=neatmath><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=262687\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> We have the repeating number 0.123123123123...<br>\r<BR>\n" );
document.write( "\n" );
document.write( "Let n be our number.<br>\r<BR>\n" );
document.write( "\n" );
document.write( "n=0.123123123...<br>\r<BR>\n" );
document.write( "\n" );
document.write( "1000n=123.123123123...<br>\r<BR>\n" );
document.write( "\n" );
document.write( "And then we can subtract the first number from the second number to \"cancel\" out the repeating decimals!<br>\r<BR>\n" );
document.write( "\n" );
document.write( "We would end up with<br>\r<BR>\n" );
document.write( "\n" );
document.write( "999n=123<br>\r<BR>\n" );
document.write( "\n" );
document.write( "Then just solve for n!<br>\r<BR>\n" );
document.write( "\n" );
document.write( "n=123/999 or simplifying the fraction, we have:<br>\r<BR>\n" );
document.write( "\n" );
document.write( "<b>n=41/333</b><br>\r<BR>\n" );
document.write( "\n" );
document.write( "I hope this helps!<br> </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );