document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=102905>Question 102905</A>: <I><SPAN STYLE=\"word-break: break-all;\"> My teacher gave us a problem not in our textbook.  <BR>\n" );
document.write( "       For a repeating number 3.181818..., what is the way to find it's ratio if x equals .1818...<BR>\n" );
document.write( "I've tried dividing 18 by 100 and simplyfying it to 9/50, but can't get to the answer which is<BR>\n" );
document.write( "35/11.  Thank you very much!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #74847 by </B><A HREF=/tutors/aboutme.mpl?userid=mathemanic><B>mathemanic(13)</B></A><img src=\"/images/stars/stars-06.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mathemanic><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=74847\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> should x =  0.18181818...<BR>\n" );
document.write( "and 100x = 18.18181818...\r<BR>\n" );
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document.write( "100x - x = 18.18181818... - 0.18181818...<BR>\n" );
document.write( "99x = 18<BR>\n" );
document.write( "x = 2/11\r<BR>\n" );
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document.write( "since x = 0.18181818... = 2/11, therefore<BR>\n" );
document.write( "3.1818... = 3 + 0.1818...<BR>\n" );
document.write( "3.1818... = 3 + 2/11<BR>\n" );
document.write( "3.1818... = 35/11\r<BR>\n" );
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document.write( "Hope that helps :) </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );