SOLUTION: simplify the complex fraction, reduce to lowest terms {{{matrix(3,1,1/9 + 1/(3x),"---------",x/9 - 1/x)}}}

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Question 174645: simplify the complex fraction, reduce to lowest terms

Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!


Put parentheses around numerator and denominator:


The LCD of all the denominators is , so we
multiply by  but we first write it as

 

so everything will be fractions:



Now we indicate the multiplication of numerators 
and denominators:



Now we distribute:



Now we cancel:
             3


All that's left is



Factor the denominator:



Cancel the 's



Now all that's left is



Edwin

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