SOLUTION: Simplify: 4/x + 1/2x divided by 1/3x - 3/4x

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Simplify: 4/x + 1/2x divided by 1/3x - 3/4x      Log On


   

Question 156270: Simplify:
4/x + 1/2x divided by 1/3x - 3/4x
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Assume the problem is:
:
4%2Fx+%2B+1%2F%282x%29
-----------
1%2F%283x%29+-+3%2F%284x%29
Place each over a common denominator
%282%284%29%2B1%29%2F%282x%29
-----------
%284%281%29-3%283%29%29%2F%2812x%29
:
Do the math on the numerators:
9%2F%282x%29
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%28-5%29%2F%2812x%29
invert the dividing fraction and multiply:
9%2F%282x%29 * -%2812x%29%2F5
Cancel 2x into 12x
9 * -6%2F5 = -54%2F5