SOLUTION: How do you simplify: (x+3)/(6) divided by 1+(x/3) *note* / = fractions

Algebra ->  Algebra  -> Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: How do you simplify: (x+3)/(6) divided by 1+(x/3) *note* / = fractions       Log On

Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

   

Question 253081: How do you simplify: (x+3)/(6) divided by 1+(x/3)
*note* / = fractions
Answer by jim_thompson5910(28595) About Me  (Show Source):
You can put this solution on YOUR website!
%28%28x%2B3%29%2F6%29%2F%281%2Bx%2F3%29 Start with the given expression.


Multiply EVERY term by the inner LCD 6 to clear out the inner fractions.


%28x%2B3%29%2F%286%2B2x%29 Simplify


%28x%2B3%29%2F%282%283%2Bx%29%29 Factor the denominator.


%28x%2B3%29%2F%282%28x%2B3%29%29 Rearrange the terms.


cross%28%28x%2B3%29%29%2F%282cross%28%28x%2B3%29%29%29 Cancel out the common terms.


1%2F2 Simplify.


So %28%28x%2B3%29%2F6%29%2F%281%2Bx%2F3%29 simplifies to 1%2F2


In other words, %28%28x%2B3%29%2F6%29%2F%281%2Bx%2F3%29=1%2F2