document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1116919>Question 1116919</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Express the following in rational form<BR>\n" );
document.write( "a) 0.3434343434343434343434...<BR>\n" );
document.write( "b)2.457777777777777777777777... </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #731833 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=731833\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Express the following in rational form<BR>\n" );
document.write( "a) 0.3434343434343434343434...<BR>\n" );
document.write( "---<BR>\n" );
document.write( "x = 0.3434343434343434343434...<BR>\n" );
document.write( "100x=34.34343434343434343434...<BR>\n" );
document.write( "- x = 0.3434343434343434343434...<BR>\n" );
document.write( "---------------------------------------<BR>\n" );
document.write( "99x= 34<BR>\n" );
document.write( "x = 34/99<BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "b)2.457777777777777777777777...<BR>\n" );
document.write( "---<BR>\n" );
document.write( "x = 2.457777777777777777777777... = 2.45 + 0.00777777777777...<BR>\n" );
document.write( "y = 0.00777777777777...<BR>\n" );
document.write( "10y =0.0777777777777...<BR>\n" );
document.write( "-y = 0.00777777777777...<BR>\n" );
document.write( "---------------------------<BR>\n" );
document.write( "9y = 0.07<BR>\n" );
document.write( "y = 0.07/9 = 7/900<BR>\n" );
document.write( "2.457777777777777777777777... = 2.45 + 7/900 = 2 + 405/900 + 7/900 = 2212/900<BR>\n" );
document.write( "= 553/225 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );