document.write( "Question 149318: w-4/3w ÷ 2w-8/9w \n" ); document.write( "
Algebra.Com's Answer #109554 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "\"%28%28w-4%29%2F%283w%29%29%2F%28%282w-8%29%2F%289w%29%29\" Start with the given expression.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%28%28w-4%29%2F%283w%29%29%28%289w%29%2F%282w-8%29%29\" Multiply the first fraction \"%28w-4%29%2F%283w%29\" by the reciprocal of the second fraction \"%282w-8%29%2F%289w%29\".\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%28%28w-4%29%2F%283w%29%29%28%283%2A3%2Aw%29%2F%282w-8%29%29\" Factor \"9w\" to get \"3%2A3%2Aw\".\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%28%28w-4%29%2F%283w%29%29%28%283%2A3%2Aw%29%2F%282%28w-4%29%29%29\" Factor \"2w-8\" to get \"2%28w-4%29\".\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%28%28w-4%29%283%2A3%2Aw%29%29%2F%282%283w%29%28w-4%29%29\" Combine the fractions. \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " Highlight the common terms. \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%28cross%28%28w-4%29%29%283%2Across%283w%29%29%29%2F%282cross%283w%29cross%28%28w-4%29%29%29\" Cancel out the common terms. \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%283%29%2F%282%29\" Simplify. \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So \"%28%28w-4%29%2F%283w%29%29%2F%28%282w-8%29%2F%289w%29%29\" simplifies to \"%283%29%2F%282%29\".\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );