document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=319167>Question 319167</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is 5.246246 as a fraction?? How did you convert this to a fraction? Thank you for your time! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #228517 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=228517\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I'm assuming that the number is 5.246246246... where the '246' repeats forever.\r<BR>\n" );
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document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=5.246246246 ALIGN=MIDDLE  ALT=\"x=5.246246246\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Now multiply both sides by 1000 to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1000x=5246.246246246 ALIGN=MIDDLE  ALT=\"1000x=5246.246246246\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Why 1000? I wanted to move the decimal point to the next start of the block 246\r<BR>\n" );
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document.write( "Now subtract 'x' from 1000x to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1000x-x=5246.246246246-5.246246246=5241 ALIGN=MIDDLE  ALT=\"1000x-x=5246.246246246-5.246246246=5241\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Note: notice how the decimal parts match perfectly and they subtract and cancel out completely.\r<BR>\n" );
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document.write( "So we now know that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1000x-x=5241 ALIGN=MIDDLE  ALT=\"1000x-x=5241\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1000x-x=5241 ALIGN=MIDDLE  ALT=\"1000x-x=5241\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given equation.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=999x=5241 ALIGN=MIDDLE  ALT=\"999x=5241\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms on the left side.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%285241%29%2F%28999%29 ALIGN=MIDDLE  ALT=\"x=%285241%29%2F%28999%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=999 ALIGN=MIDDLE  ALT=\"999\"   DISABLED_style= \"max-width:90%; height:auto;\" > to isolate <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=1747%2F333 ALIGN=MIDDLE  ALT=\"x=1747%2F333\"   DISABLED_style= \"max-width:90%; height:auto;\" > Reduce.\r<BR>\n" );
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document.write( "Answer:\r<BR>\n" );
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document.write( "So the solution is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=1747%2F333 ALIGN=MIDDLE  ALT=\"x=1747%2F333\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Since we let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=5.246246246 ALIGN=MIDDLE  ALT=\"x=5.246246246\"   DISABLED_style= \"max-width:90%; height:auto;\" >, this then means that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1747%2F333=5.246246246 ALIGN=MIDDLE  ALT=\"1747%2F333=5.246246246\"   DISABLED_style= \"max-width:90%; height:auto;\" > where the '246' block repeats forever. </SPAN>\n" );
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