document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=66337>Question 66337</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/093979862x/algebrahomeworkh>An incremental Development</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Show that 3.6123 (has a line over 123) is a rational number by writing it as a fraction of integers </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #47046 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=47046\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Show that 3.6123 (has a line over 123) is a rational number by writing it as a fraction of integers.<BR>\n" );
document.write( "Let x=3.6123<BR>\n" );
document.write( "Multiply by 10 to get <BR>\n" );
document.write( "Equation A: 10x=36.123<BR>\n" );
document.write( "Multiply the original by 10000 to get<BR>\n" );
document.write( "Equation B: 10000x=36123.123<BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "Subtract Equation A from Equation B to get:<BR>\n" );
document.write( "9990x=36007<BR>\n" );
document.write( "Then x=36007/9990<BR>\n" );
document.write( "So, 3.16123 = 36007/9990<BR>\n" );
document.write( "----------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );