document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1108967>Question 1108967</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 3.25 as a fraction only 5 repeating\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 #724010 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=724010\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> i believe you are asking how to find the fraction of 3.255555555555........, where the 5 repeats endlessly.\r<BR>\n" );
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document.write( "i think this is the way to do it.\r<BR>\n" );
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document.write( "let x equal your number.\r<BR>\n" );
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document.write( "you get x = 3.2555555.......\r<BR>\n" );
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document.write( "you want to multiply the number so the the repeating decimals are directly to the left of the decimal point and directly to the right of the decimal point.\r<BR>\n" );
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document.write( "to get the repeating decimal directly to the right of the decimal point, multiply both sides of that original equation by 10 to get:\r<BR>\n" );
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document.write( "10x = 32.55555.................\r<BR>\n" );
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document.write( "to get the repeating decimal directly to the left of the decimal point, multiply both sides of the original equation by 100 to get:\r<BR>\n" );
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document.write( "100x = 325.55555......................\r<BR>\n" );
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document.write( "now subtract 10x = 32.55555..... from 100x = 325.55555...... to get:\r<BR>\n" );
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document.write( "90x = 325 - 32\r<BR>\n" );
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document.write( "this results in 90x = 293.\r<BR>\n" );
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document.write( "solve for x to get x = 293/90.\r<BR>\n" );
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document.write( "that's your fraction.\r<BR>\n" );
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document.write( "convert that to a mixed fraction to get 3 and 23/90.\r<BR>\n" );
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document.write( "enter 293/90 in your calculator and it will tell you that the number is 3.255555......\r<BR>\n" );
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document.write( "enter (3 + 23/90) in your calculator and it will tell you the same.\r<BR>\n" );
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document.write( "that tells you that you did the conversion correctly.\r<BR>\n" );
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document.write( "here's a reference from the web on how to do it.\r<BR>\n" );
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document.write( "<a  rel=nofollow HREF= \"https://www.basic-mathematics.com/converting-repeating-decimals-to-fractions.html\" target = \"_blank\">https://www.basic-mathematics.com/converting-repeating-decimals-to-fractions.html</a>\r<BR>\n" );
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