document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=230666>Question 230666</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The denominator of a certain fraction is three times the numerator. If 2 is added to the numerator and subtracted from the denominator, the resulting fraction is equivalent to 1. What was the original fraction (not written in lowest terms)? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #170902 by </B><A HREF=/tutors/aboutme.mpl?userid=unlockmath><B>unlockmath(1688)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=unlockmath><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=unlockmath><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=170902\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hello, \r<BR>\n" );
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document.write( "Let's first write out how the fraction will look:\r<BR>\n" );
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document.write( "             x + 2/3x-2 = 1 \r<BR>\n" );
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document.write( "Now all we have to do is solve what x equals. \r<BR>\n" );
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document.write( "First we multiply both sides by 3x-2\r<BR>\n" );
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document.write( "This will then make the equation look like this:\r<BR>\n" );
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document.write( "            x + 2 = 3x - 2\r<BR>\n" );
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document.write( "Now subtract 2 from both sides and this leaves\r<BR>\n" );
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document.write( "             x = 3x - 4\r<BR>\n" );
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document.write( "Now subtract 3x from both sides and this will give you:\r<BR>\n" );
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document.write( "              -2x = -4\r<BR>\n" );
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document.write( "Now divide both sides by -2 and this gives you \r<BR>\n" );
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document.write( "                 x = 2\r<BR>\n" );
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document.write( "plugging 2 into the original formula gives you:\r<BR>\n" );
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document.write( "                  2 + 2/3 times 2-2 = 1  this turns into: \r<BR>\n" );
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document.write( "                 4/4=1 <BR>\n" );
document.write( "You're welcome,<BR>\n" );
document.write( "RJ Toftness<BR>\n" );
document.write( "www.math-unlock.com </SPAN>\n" );
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