document.write( "Question 133113: I think I'm doing this right, but I want to make sure. The instructions are: Simplify the complex fraction and reduce each answer to lowest terms.\r
\n" );
document.write( "\n" );
document.write( " ab+b^2
\n" );
document.write( "----------
\n" );
document.write( " 4ab^5
\n" );
document.write( "----------- =
\n" );
document.write( " a+b
\n" );
document.write( "-----------
\n" );
document.write( " 6a^2b^4\r
\n" );
document.write( "
\n" );
document.write( "
\n" );
document.write( "
\n" );
document.write( "\n" );
document.write( " b(a+b)
\n" );
document.write( "-----------
\n" );
document.write( "4a(b)(b^4)
\n" );
document.write( "------------=
\n" );
document.write( " a+b
\n" );
document.write( "------------
\n" );
document.write( " 6a^2(b^4)\r
\n" );
document.write( "
\n" );
document.write( "
\n" );
document.write( "
\n" );
document.write( "\n" );
document.write( " 4a
\n" );
document.write( "-----------
\n" );
document.write( " 6a^2\r
\n" );
document.write( "\n" );
document.write( " \n" );
document.write( "
Algebra.Com's Answer #97332 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Simplify the complex fraction and reduce each answer to lowest terms.\r \n" ); document.write( "\n" ); document.write( " [(ab+b^2) /(4ab^5)] / [(a+b)/ 6a^2(b^4)] \n" ); document.write( "Factor: \n" ); document.write( " \n" ); document.write( "= [b(a+b)/4ab^5] / [(a+b)/(6a^2b^4)]\r \n" ); document.write( "\n" ); document.write( "Cancel (a+b), b to get:\r \n" ); document.write( "\n" ); document.write( "= [1/4ab^4]/[1/6a^2b^4] \n" ); document.write( "Cancel 2,a,b^4 to get:\r \n" ); document.write( "\n" ); document.write( "= [1/2] / [1/3a^2]\r \n" ); document.write( "\n" ); document.write( " Invert the denominator and multiply:\r \n" ); document.write( "\n" ); document.write( "= (3/2)a^2\r \n" ); document.write( "\n" ); document.write( "============================================\r \n" ); document.write( "\n" ); document.write( "[b(a+b)/4a(b)(b^4)] / [(a+b)/6a^2(b^4)]\r \n" ); document.write( "\n" ); document.write( "Cancel (a+b), b, and b^4 to get:\r \n" ); document.write( "\n" ); document.write( "= [1/4a] / [1/6a^2]\r \n" ); document.write( "\n" ); document.write( "= [3a/2] \n" ); document.write( "================================\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "[4a/6a^2] \n" ); document.write( "=[2/3a] \r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "=================\r \n" ); document.write( "\n" ); document.write( " 4a \n" ); document.write( "----------- = (2/3a^2) \n" ); document.write( " 6a^2\r \n" ); document.write( "\n" ); document.write( "=========================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |