Don't waste my add a random answer if you don't know it don't answer. see attachment to

So basically are doing keep change flip of ((x^2)/(x-1))/((3x^2)/(x+4))
keep ((x^2)/(x-1)) change the division symbol (/) to a multiplication symbol (*) and flip the denominator ((3x^2)/(x+4)) to ((x+4)/(3x^2))
now we are multiplying ((x^2)/(x-1)) by ((x+4)/(3x^2)). 
((x^2)/(x-1))*((x+4)/(3x^2))
multiply the numerators and then multiply the denominators to get 
((x^3)+(4x^2))/((3x^3)-(3x^2))
let's now extract x^2 from the numerator and 3x^2 from the denominator to get ((x^2)(x+4))/((3x^2)(x-1)
now we can simplify it down to (x/3)((x+4)/(x-1))

You're gonna need to post the table