document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=571505>Question 571505</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have a homework problem that I unfortunately do not understand how to set up to get the answer. My question is to \"express the given repeating decimal as a quotient of integers. If possible reduce to lowest terms.\" It is the repeating decimal 0.71... </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #368096 by </B><A HREF=/tutors/aboutme.mpl?userid=reviewermath><B>reviewermath(1029)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=reviewermath><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=reviewermath><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=368096\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 0.717171... = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=71%2F99 ALIGN=MIDDLE  ALT=\"71%2F99\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Solution:\r<BR>\n" );
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document.write( "Let x = 0.717171... multiply both sides by 100 because 2 digits are repeating<BR>\n" );
document.write( "  100x = 71.717171...<BR>\n" );
document.write( "Subtract the first equation from the second equation, the result is<BR>\n" );
document.write( "99x = 71<BR>\n" );
document.write( "x = 71/99\r<BR>\n" );
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document.write( "Answer: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=71%2F99 ALIGN=MIDDLE  ALT=\"71%2F99\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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