document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=295806>Question 295806</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write the repeating decimal 0.7575 . . . as a fraction </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #213233 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=213233\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=0.7575 ALIGN=MIDDLE  ALT=\"x=0.7575\"   DISABLED_style= \"max-width:90%; height:auto;\" > where the '75's continue on forever\r<BR>\n" );
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document.write( "Multiply both sides by 100 to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100x=75.7575 ALIGN=MIDDLE  ALT=\"100x=75.7575\"   DISABLED_style= \"max-width:90%; height:auto;\" > where the '75's continue on forever\r<BR>\n" );
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document.write( "From here, subtract both sides by 'x' to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100x-x=75.7575-x ALIGN=MIDDLE  ALT=\"100x-x=75.7575-x\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Now plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=0.7575 ALIGN=MIDDLE  ALT=\"x=0.7575\"   DISABLED_style= \"max-width:90%; height:auto;\" > on the right side to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100x-x=75.7575-0.7575 ALIGN=MIDDLE  ALT=\"100x-x=75.7575-0.7575\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now combine like terms: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=99x=75 ALIGN=MIDDLE  ALT=\"99x=75\"   DISABLED_style= \"max-width:90%; height:auto;\" > and then divide both sides by 99 to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=75%2F99 ALIGN=MIDDLE  ALT=\"x=75%2F99\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Because we made <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=0.7575 ALIGN=MIDDLE  ALT=\"x=0.7575\"   DISABLED_style= \"max-width:90%; height:auto;\" > and we found that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=75%2F99 ALIGN=MIDDLE  ALT=\"x=75%2F99\"   DISABLED_style= \"max-width:90%; height:auto;\" > as well, we can say that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=75%2F99=0.7575 ALIGN=MIDDLE  ALT=\"75%2F99=0.7575\"   DISABLED_style= \"max-width:90%; height:auto;\" > (where the 75's go on forever). Note: you can use your calculator to confirm. </SPAN>\n" );
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