Simplify the complex fraction

((3x-7)/x^2)/(x^2/2)+(2/x)

i really need steps on how to do this properly cause i really can't figure it out

The simplest form is 2(3x - 7)/x(x³ + 4)

Step-by-step explanation:

* Lets revise how can divide fraction by fraction

- To simplify (a/b)/(c/d), change it to (a/b) ÷ (c/d)

∵ a/b ÷ c/d

- To solve it change the division sign to multiplication sign and

 reciprocal the fraction after the sign

∴ a/b × d/c = ad/bc

* Now lets solve the problem

∵

- Lets take the denominator and simplify by make it a single

 fraction, let the denominator of it 2x and change

 the numerator

∴

∴ The fraction =

* Now lets change it by (up ÷ down)

∴ ÷

- Change the division sign to multiplication sign and reciprocal

 the fraction after the sign

∴ ×

∴

- We can simplify x up with x down

∴

* The simplest form is 2(3x - 7)/x(x³ + 4)

step-by-step explanation:

a and d