document.write( "Question 811685: simplify the compound fraction and show work:\r
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document.write( "1/(x+1) +1/2
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document.write( "3/(2x^2 +4x +2) \n" );
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Algebra.Com's Answer #488853 by brysca(112)![]() ![]() You can put this solution on YOUR website! I gave it a shot. It looks right and I'm pretty sure it's right but I'm sorry if it's not.\r \n" ); document.write( "\n" ); document.write( "First, combine the 1 and the .5 in the denominator \n" ); document.write( "x+1+.5 \n" ); document.write( "=x+1.5\r \n" ); document.write( "\n" ); document.write( "So the question translates to this: \n" ); document.write( "1/(x+1.5) divided by 3/(2x^2 +4x +2)\r \n" ); document.write( "\n" ); document.write( "So whenever you divide by a fraction, you multiply by its inverse instead so it looks like this: \n" ); document.write( "1/(x+1.5) * (2x^2 +4x +2)/3\r \n" ); document.write( "\n" ); document.write( "(2x^2 +4x +2) simplifies to (x+1)(2x+2) so you rewrite it like this \n" ); document.write( "1/(x+1.5) * (x+1)(2x+2)/3\r \n" ); document.write( "\n" ); document.write( "You should get something like this when multiplied: \n" ); document.write( "(x+1)(2x+2)/(3x+4.5) \n" ); document.write( " |