Question

Can you please help me solve:
2x/(4x^2y)+x/(3xy^3)

Answer 1

You need a common denominator
4x^2y and 3xy^3 would have a common denominator of 12x^2y^3

So that goes on the bottom of each fraction.

To turn 4x^2y into 12x^2y^3 you would need to multiply by 3y^2 on top and bottom of the first fraction.. so the first fraction is

6xy^2
------
12x^2y^3

Answer 2

On the second fraction... to turn 3xy^3 into 12x^2y^3 you would need to multiply the top and bottom of the second fraction by 4x

so you would get

4x^2
-------
12x^2y^3

Answer 3

So now you have

6xy^2 4x^2
------ + ----------
12x^2y^3 12x^2y^3

Answer 4

(6xy^2 + 4x^2)
-------------
12x^2y^3


but the top factors into
2x(3y^2 + 2x)
-----------
12x^2y^3


so the 12x cancels and you have

3y^2 + 2x
---------
6xy^3