6/x+2/3x-x/3

Question

6 over x plus 2 over 3x subtra x over 3

Answer 1

Get a common denominator:  3x, so multiply every fraction as needed to get a 3x on the bottom. I will have the original problem outside of parenthesis and the multiplier inside. And remember you have to multiply both the top and the bottom by the same number.

6  (3)  +  2  -   x  (x)

x  (3)      3x     3  (x) 

This gives you:

18  +  2  -  x²

3x      3x     3x

When add/sub fractions the denominator will be the same for the answer, the numerator will be the terms simplified and combined.

20  -  x²

    3x

Other ways to write the same thing (some teachers want to see one larger fraction, some want to see the fractions broken apart)

20  -  x²   =   20  -  x

3x     3x        3x     3

 

Answer 2

refer to the answer below.