SOLUTION: simplify 4/(x+3) / (1/x)+3 the question is a fraction annd 4/(x+3) is a fraction, but the numerator and the denominator is (1/x)+ 3 thank you! :)

Algebra ->  Algebra  -> Rational-functions -> SOLUTION: simplify 4/(x+3) / (1/x)+3 the question is a fraction annd 4/(x+3) is a fraction, but the numerator and the denominator is (1/x)+ 3 thank you! :)      Log On

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Question 191963: simplify
4/(x+3) / (1/x)+3


the question is a fraction annd 4/(x+3) is a fraction, but the numerator and the denominator is (1/x)+ 3

thank you! :)
Answer by jim_thompson5910(28595) About Me  (Show Source):
You can put this solution on YOUR website!
%284%2F%28x%2B3%29%29%2F%281%2Fx%2B3%29 Start with the given expression.


Multiply EVERY term by the inner LCD x%28x%2B3%29 to clear out the fractions.


%284x%29%2F%28x%2B3%2B3x%28x%2B3%29%29 Multiply and simplify


%284x%29%2F%28x%2B3%2B3x%5E2%2B9x%29 Distribute


%284x%29%2F%283x%5E2%2B10x%2B3%29 Combine like terms.


So %284%2F%28x%2B3%29%29%2F%281%2Fx%2B3%29=%284x%29%2F%283x%5E2%2B10x%2B3%29 where x%3C%3E0, x%3C%3E-3, or x%3C%3E-1%2F3