document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=283789>Question 283789</A>: <I><SPAN STYLE=\"word-break: break-all;\"> simplify each complex fraction\r<BR>\n" );
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document.write( "( 2/9 +4/9 ) (1/3 - 9/10) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #205957 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=205957\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> expression is:\r<BR>\n" );
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document.write( "(2/9 + 4/9) * (1/3 - 9/10)\r<BR>\n" );
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document.write( "2/9 + 4/9 can be combined because their denominators are the same to get:\r<BR>\n" );
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document.write( "6/9\r<BR>\n" );
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document.write( "1/3 - 9/10 needs to find a common denominator for.\r<BR>\n" );
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document.write( "easiest one to find is 3 * 10 = 30.\r<BR>\n" );
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document.write( "multiply first fraction by 10/10 and multiply the second fraction by 3/3 to get:\r<BR>\n" );
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document.write( "10/30 - 27/30.\r<BR>\n" );
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document.write( "now that the denominator are the same, these can be combined to equal:\r<BR>\n" );
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document.write( "-17/30.\r<BR>\n" );
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document.write( "your expression of (2/9 + 4/9) * (1/3 - 9/10) is now equivalent to:\r<BR>\n" );
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document.write( "(6/9) * (-17/30) which can be multiplied together to get:\r<BR>\n" );
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document.write( "(6*-17)/(9*30) = -102/270\r<BR>\n" );
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document.write( "-102/270 = -.3777777778\r<BR>\n" );
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document.write( "Use your calculator to solve the original expression to see if it is the same as the result you get with the final expression.\r<BR>\n" );
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document.write( "They are the same so the simplification process was correct.\r<BR>\n" );
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document.write( "If you did not want to multiply the first expression by the second expression, then your answer would be:\r<BR>\n" );
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document.write( "first expression:\r<BR>\n" );
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document.write( "(2/9 + 4/9) is the same as 6/9 = 2/3\r<BR>\n" );
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document.write( "second expression:\r<BR>\n" );
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document.write( "(1/3 - 9/10) = (10/30 - 27/30) = -17/30\r<BR>\n" );
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document.write( " </SPAN>\n" );
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