document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=638594>Question 638594</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I do not understand why -9/19 is a rational number since it works out to -0.47368421052.... could you please explain. I thought rational numbers must end or repeat.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #402287 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=402287\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I do not understand why -9/19 is a rational number since it works out to -0.47368421052.... could you please explain. I thought rational numbers must end or repeat. <BR>\n" );
document.write( "------<BR>\n" );
document.write( "Your denominator is 19.  So there are at most 19 different remainders<BR>\n" );
document.write( "when you divide -9 by 19.  So that decimal form you posted must start<BR>\n" );
document.write( "repeating in no more than 20 digit places.<BR>\n" );
document.write( "----<BR>\n" );
document.write( "-9/19 IS rational because it is a ratio of two integers and the<BR>\n" );
document.write( "denominator is not zero.<BR>\n" );
document.write( "=================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "================== </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );