document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=700161>Question 700161</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am working on mixed numbers and variables in fractions.  The problem is Solve for x: (2 1/2)/24)=x/30<BR>\n" );
document.write( "I'm not quite sure how to start.  Do I multiply both sides by 24 to leave the mixed number by its self  which would give me 2 1/2 = 3x/5 then multiply the both sides by 5 to get 25/2 = 3x then divide by 3 to get 25/6.  Or do I change the mixed number to a decimal so it is 2.5/24 = x/30.  I'm just really confused... </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #431698 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=431698\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "Either process results in the same answer -- given CORRECT arithmetic.  In your first method you also need to convert your mixed number to an improper fraction.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \frac{2\frac{1}{2}}{24}\ =\ \frac{x}{30}\">\r<BR>\n" );
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document.write( "Multiply by the LHS denominator.  (Note:  6 goes into 24 four times and into 30 five times)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 2\frac{1}{2}\ =\ \frac{24x}{30}\ =\ \frac{4x}{5}\">\r<BR>\n" );
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document.write( "Now convert to an improper fraction. 2 is four halves plus one-half is <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \frac{5}{2}\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \frac{4}{5}x\ =\ \frac{5}{2}\">\r<BR>\n" );
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document.write( "Multiply by the reciprocal of the coefficient on <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE x\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ x\ =\ \frac{5}{2}\,\cdot\,\frac{5}{4}\ =\ \frac{25}{8}\">\r<BR>\n" );
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document.write( "Then you can integer divide 25 by 8 to convert back to a mixed number if that happens to tickle your fancy.\r<BR>\n" );
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document.write( "If you do it by changing everything to decimals, you end up with <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE x\ =\ 3.125\">  which is the same thing as 3 and 1/8 or 25/8.\r<BR>\n" );
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document.write( "Now for the way I would have done it in the first place.\r<BR>\n" );
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document.write( "Step 1:  Multiply the LHS by 1 in the form <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \frac{2}{2}\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \frac{2}{2}\,\cdot\,\frac{2\frac{1}{2}}{24}\ =\ \frac{x}{30}\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \frac{5}{48}\ =\ \frac{x}{30}\">\r<BR>\n" );
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document.write( "Multiply both sides by 48\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \frac{48x}{30}\ =\ 5\">\r<BR>\n" );
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document.write( "Reduce the fraction in the RHS\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \frac{8}{5}x\ =\ 5\">\r<BR>\n" );
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document.write( "Multiply by the reciprocal of the coefficient in the LHS\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ x\ =\ \frac{25}{8}\">\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi}\ +\ 1\ =\ 0\"><BR>\n" );
document.write( "<font face=\"Math1\" size=\"+2\">Egw to Beta kai to Sigma</font><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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