document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=660283>Question 660283</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need help taking any decimal and turning it into a fraction. Is there a formula for this? I know the easy ones like .33 is 1/3 but I need to know how to do the more complicated conversions. Thank you so much for your help! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #411107 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=411107\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Suppose you have 1/9 which is<BR>\n" );
document.write( "0.1111111111 . . . to infinity<BR>\n" );
document.write( "If you are just given this repeating decimal, how<BR>\n" );
document.write( "do you convert it back to 1/9?<BR>\n" );
document.write( "--------------------------<BR>\n" );
document.write( "First, say<BR>\n" );
document.write( "x = .1111111 . . .<BR>\n" );
document.write( "and<BR>\n" );
document.write( "10x = 1.11111 . . .<BR>\n" );
document.write( "--------------------<BR>\n" );
document.write( "Now do this subtraction:<BR>\n" );
document.write( "10x = 1.11111 . . .<BR>\n" );
document.write( "    -x = .1111111 . . .<BR>\n" );
document.write( "______________________<BR>\n" );
document.write( "9x = 1<BR>\n" );
document.write( "x = 1/9<BR>\n" );
document.write( "----------<BR>\n" );
document.write( "----------<BR>\n" );
document.write( "Suppose you had 7/11 = .636363636 . . .<BR>\n" );
document.write( "x = .6363636 . . .<BR>\n" );
document.write( "100x = 63.636363 . . .<BR>\n" );
document.write( "--------------------<BR>\n" );
document.write( "Do the subtraction:<BR>\n" );
document.write( "100x = 63.636363 . . .<BR>\n" );
document.write( "        -x = .6363636 . . .<BR>\n" );
document.write( "99x = 63<BR>\n" );
document.write( "x = 63/99<BR>\n" );
document.write( "x  = (7/11)x(9/9)<BR>\n" );
document.write( "x = 7/11<BR>\n" );
document.write( "-----------<BR>\n" );
document.write( "hope this helps<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );