SOLUTION: Add. Express your answer in simplest form. 6/3x-2 + 3/2x

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Add. Express your answer in simplest form. 6/3x-2 + 3/2x       Log On


   

Question 80173: Add. Express your answer in simplest form.

6/3x-2 + 3/2x
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
6%2F%283x-2%29+%2B+3%2F%282x%29
We can see that the LCD is (3x-2)(2x) so lets multiply each fraction by the missing piece to get the LCD
%282x%2F2x%29%286%2F%283x-2%29%29+%2B+%28%283x-2%29%2F%283x-2%29%29%283%2F%282x%29%29

Multiply

%2812x%29%2F%28%283x-2%29%282x%29%29+%2B+%289x-6%29%2F%28%283x-2%29%282x%29%29%29 Distribute

%2812x%2B9x-6%29%2F%28%283x-2%29%282x%29%29%29 Combine the fractions

%2821x-6%29%2F%28%283x-2%29%282x%29%29%29 Combine like terms. This is the simplified form.