document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=383500>Question 383500</A>: <I><SPAN STYLE=\"word-break: break-all;\"> could someone help me work this out step by step so I can understand it. I am lost.I am suppose to build up the rational expression into an equivalent rational expression with the indicated denominator. Please help.\r<BR>\n" );
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document.write( "Thank you\r<BR>\n" );
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document.write( "-7yt/3x=?/18xyt<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 #271533 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=271533\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> -7yt/3x=?/18xyt\r<BR>\n" );
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document.write( "it helps to separate what is being multiplied by each other by *.\r<BR>\n" );
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document.write( "it also helps to surround operations that are going to be performed together by parentheses.\r<BR>\n" );
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document.write( "your formula becomes:\r<BR>\n" );
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document.write( "(-7*y*t) / (3*x) = ? / (18*x*y*t)\r<BR>\n" );
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document.write( "multiply both sides of this equation by (18*x*y*t)\r<BR>\n" );
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document.write( "you get:\r<BR>\n" );
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document.write( "(18*x*y*t) * ((-7*y*t) / (3*x)) = ?\r<BR>\n" );
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document.write( "since a * (b/c) = (a*b) / c, then your expression above is equivalent to:\r<BR>\n" );
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document.write( "((18*x*y*t) * (-7*y*t)) / (3*x) = ?\r<BR>\n" );
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document.write( "(18*x*y*t) * (-7*y*t) is equal to (-126 * x * y^2 * t^2)\r<BR>\n" );
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document.write( "this is because 18 * -7 = -126 and y * y = y^2 and t * t = t^2.\r<BR>\n" );
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document.write( "(-126 * x * y^2 * t^3) / (3 * x) is equal to (-42 * y^2 * t^2)\r<BR>\n" );
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document.write( "this is because -126/3 = -42 and x/x = 1 which is not shown but implied.\r<BR>\n" );
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document.write( "your answer should be ? = (-42 * y^2 * t^2)\r<BR>\n" );
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document.write( "you can confirm it by assigning values to each of the variables at random and seeing if the final expression is true after simplification.\r<BR>\n" );
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document.write( "Assume x = 2, y = 3, t = 4\r<BR>\n" );
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document.write( "your original expression of (-7*y*t) / (3*x) = ? / (18*x*y*t) becomes (-7*y*t) / (3*x) = (-42 * y^2 * t^2) / (18*x*y*t) which becomes (-7*3*4) / (3*2) = (-42 * 3^2 * 4^2) / (18*2*3*4)\r<BR>\n" );
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document.write( "this resolves to -84/6 = -6048 / 432 which resolves finally to -14 = -14 confirming that we did the calculations correctly.\r<BR>\n" );
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