document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=503505>Question 503505</A>: <I><SPAN STYLE=\"word-break: break-all;\">  e.g. 0.1111... = 1/9\r<BR>\n" );
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document.write( "So then how would I convert 0.0238095238095238095... (238095 is a recurring decimal)to a fraction? \r<BR>\n" );
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document.write( "Thank you! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #339266 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=339266\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> convert 0.0238095238095238095... (238095 is a recurring decimal)to a fraction? <BR>\n" );
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document.write( "Let x = 0.0238095238095238095... <BR>\n" );
document.write( "Then 10x = 0.238095238095...<BR>\n" );
document.write( "And 10^7x = 238095.238095238095<BR>\n" );
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document.write( "Subtract the 2nd line from the 3rd to get:<BR>\n" );
document.write( "(10^7-10)x = 238095<BR>\n" );
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document.write( "x = 238095/[10000000-10] = 238095/9,999,990<BR>\n" );
document.write( "=============================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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