SOLUTION: I would like to check my solutions. I would appreciate any input. Simplify the complex fraction. 9 + 3/x / x/4 + 1/12

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: I would like to check my solutions. I would appreciate any input. Simplify the complex fraction. 9 + 3/x / x/4 + 1/12      Log On


   

Question 83701: I would like to check my solutions. I would appreciate any input.
Simplify the complex fraction.
9 + 3/x / x/4 + 1/12
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
9+%2B+%283%2Fx%29
---------
%28x%2F4%29+%2B+%281%2F12%29
:
Put both fractions over a common denominator
%289x%2B3%29%2Fx
---------
%283x%2B1%29%2F12
:
Invert the dividing fraction and multiply
Factor out 3
Cancel the (3x+1)'s
:
%289x%2B3%29%2Fx * 12%2F%283x%2B1%29 = %283%283x%2B1%29%29%2Fx * 12%2F%283x%2B1%29 = 36%2Fx