document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=17663>Question 17663</A>: <I><SPAN STYLE=\"word-break: break-all;\"> please help me with this problem:Expres .15(with the bar at the top of 15)as a fraction in simplest form. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #8526 by </B><A HREF=/tutors/aboutme.mpl?userid=mmm4444bot><B>mmm4444bot(95)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mmm4444bot><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=8526\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hello There:\r<BR>\n" );
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document.write( "In case you don't know, the bar indicates that the digits below it repeat forever.\r<BR>\n" );
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document.write( "Here is an algebraic method to find the fraction for 0.1515151515...\r<BR>\n" );
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document.write( "x = 0.151515...\r<BR>\n" );
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document.write( "Now, multiply x by 100 to get\r<BR>\n" );
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document.write( "100*x = 15.151515...\r<BR>\n" );
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document.write( "The reason we choose to multiply by 100 is so that the repeating parts will line up if we subtract the first equation from the second.  In other words:\r<BR>\n" );
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document.write( "100*x = 15.151515...<BR>\n" );
document.write( "    x =  0.151515...<BR>\n" );
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document.write( "99x = 15\r<BR>\n" );
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document.write( "Divide both sides by 99 to solve for x.\r<BR>\n" );
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document.write( "x = 15/99\r<BR>\n" );
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document.write( "The numerator and denominator are both divisible by 3, so we can reduce this fraction.\r<BR>\n" );
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document.write( "x = 5/33\r<BR>\n" );
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document.write( "~ Mark<BR>\n" );
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