document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=277833>Question 277833</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1.  Solve for x.   3/10 = 5/x   where / means a fraction bar.<BR>\n" );
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document.write( "2.  Divide and simplify:   The fraction (x^2-4)/(x) divided by the fraction <BR>\n" );
document.write( "    (4x - 8) / (x)<BR>\n" );
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document.write( "3.  Add and simplify:  The fraction 4/(a^2 -1) +  the fraction (1)/(2a + 2)<BR>\n" );
document.write( "4.  Using the LCD, solve:  3   +  the fraction (1)/(x - 2) =  the fraction <BR>\n" );
document.write( "        (2x - 3) / (x - 2)<BR>\n" );
document.write( "        Show use of the LCD.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #202231 by </B><A HREF=/tutors/aboutme.mpl?userid=checkley77><B>checkley77(12844)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=checkley77><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=202231\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1.  Solve for x.   3/10 = 5/x   <BR>\n" );
document.write( "cross multiply<BR>\n" );
document.write( "3x=5*10<BR>\n" );
document.write( "3x=50<BR>\n" );
document.write( "x=50/3 <BR>\n" );
document.write( "x=16 2/3 ans<BR>\n" );
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document.write( "2.  Divide and simplify: The fraction (x^2-4)/(x) divided (4x-8)/(x)<BR>\n" );
document.write( "Invert the denominator & multiply.<BR>\n" );
document.write( "(x^2-4)/x*x/(4x-8) cross multiply<BR>\n" );
document.write( "(x^2-4)/4(x-2)<BR>\n" );
document.write( "(x+2)(x-2)/(x-2) cancel out the (x-2 terms.<BR>\n" );
document.write( "x+2 ans.<BR>\n" );
document.write( "  <BR>\n" );
document.write( "3.  Add and simplify: The fraction 4/(a^2-1)+(1)/(2a+2)<BR>\n" );
document.write( "Find the LCD (a^2-1)(2a+2)<BR>\n" );
document.write( "[4(2a+2)+(a^2-1)]/(a^2-1)(2a+2)<BR>\n" );
document.write( "[4*2(a+1)+(a+1)(a-1)]/(a+1)(a-1)*2(a+1)<BR>\n" );
document.write( "[(8+1)(a+1)(a-1)]/3(a+1)(a-1)<BR>\n" );
document.write( "[8(a+1)(a-1)]/3(a+1)(a-1) cancel out 3(a+1) & (a-1)<BR>\n" );
document.write( "5(a+1) ans.\r<BR>\n" );
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document.write( "4.  Using the LCD, solve:  3+(1)/(x-2)=(2x-3)/(x-2)<BR>\n" );
document.write( "LCD=(x-2)<BR>\n" );
document.write( "3(x-2)+1/(x-2)=(2x-3)/x-2)<BR>\n" );
document.write( "[3x-6+1]/(x-2)=(2x-3)/(x-2) cancel out the denominators.<BR>\n" );
document.write( "3x-5=2x-3<BR>\n" );
document.write( "3x-2x=-3+5<BR>\n" );
document.write( "x=2 ans.<BR>\n" );
document.write( "Proof is not valid because (2-2)=0 & you cannot divide by 0. \r<BR>\n" );
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document.write( "     Show use of the LCD.<BR>\n" );
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document.write( "</TD></TR></TABLE>\n" );