document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=167100>Question 167100</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/9780321331793/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> I want to double check to make sure that I did this problem right or did I misunderstand the question.\r<BR>\n" );
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document.write( "Convert the repeating decimal 0.1212...to a fraction with integer numerator and demoninator.\r<BR>\n" );
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document.write( "1/10 + 2/100 + 1/1000 + 2/10,000\r<BR>\n" );
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document.write( "(1,000 + 200 + 10 + 2)/10,000 = 1,212/10,000\r<BR>\n" );
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document.write( "I then divided by 2 to simplify which = 606/5000<BR>\n" );
document.write( "\"                                   \" = 303/2500 being the final answer\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #123078 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=123078\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Well, nice try, but your answer of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=303%2F2500+=+0.1212 ALIGN=MIDDLE  ALT=\"303%2F2500+=+0.1212\"   DISABLED_style= \"max-width:90%; height:auto;\" > and this is a terminating (non-repeating) decimal! You can check this in your calculator.<BR>\n" );
document.write( "Here's the way to convert this repeating decimal to a fraction:<BR>\n" );
document.write( "Let n = 0.1212... Multiply both sides by 100 to get:<BR>\n" );
document.write( "100n = 12.1212... Now subtract n = 0.1212...<BR>\n" );
document.write( "100n-n = (12.1212...)-(0.1212...) Perform the indicated subtraction.<BR>\n" );
document.write( "99n = 12 Finally divide both sides by 99.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n+=+12%2F99 ALIGN=MIDDLE  ALT=\"n+=+12%2F99\"   DISABLED_style= \"max-width:90%; height:auto;\" > substitute n = 0.1212...<BR>\n" );
document.write( "0.1212... = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%2F99 ALIGN=MIDDLE  ALT=\"12%2F99\"   DISABLED_style= \"max-width:90%; height:auto;\" > Reduce the fraction.<BR>\n" );
document.write( "0.1212... = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F33 ALIGN=MIDDLE  ALT=\"4%2F33\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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