document.write( "Question 161797: simplify a complex fraction please. Thanks\r
\n" ); document.write( "\n" ); document.write( "1/9+1/3x / x/9-1/x \n" ); document.write( "
Algebra.Com's Answer #119229 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
simplify a complex fraction
\n" ); document.write( ":
\n" ); document.write( "\"%281%2F9%29%2B%281%2F%283x%29%29\"
\n" ); document.write( "----------
\n" ); document.write( "\"%28x%2F9%29-%281%2Fx%29\"
\n" ); document.write( ":
\n" ); document.write( "Convert both to a single fraction over a common denominator
\n" ); document.write( "\"%28%28x%2B3%29%29%2F%289x%29\"
\n" ); document.write( "----------
\n" ); document.write( "\"%28x%28x%29-9%281%29%29%2F%289x%29\"
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\n" ); document.write( "which is:
\n" ); document.write( "\"%28%28x%2B3%29%29%2F%289x%29\"
\n" ); document.write( "----------
\n" ); document.write( "\"%28%28x%5E2-9%29%29%2F%289x%29\"
\n" ); document.write( ":
\n" ); document.write( "Invert the dividing fraction and multiply, cancel out 9x
\n" ); document.write( "\"%28%28x%2B3%29%29%2F%289x%29\" * \"%289x%29%2F%28%28x%5E2-9%29%29\" = \"%28%28x%2B3%29%29%2F%28%28x%5E2-9%29%29\"
\n" ); document.write( ":
\n" ); document.write( "Note that x^2-9 is the \"difference of squares\" so factor that. Cancel out x+3
\n" ); document.write( "\"%28%28x%2B3%29%29%2F%28%28x%2B3%29%28x-3%29%29\" = \"1%2F%28%28x-3%29%29\" \n" ); document.write( "
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