Step-by-step explanation:
[tex] \frac{ \frac{ {x}^{2} }{x - 1}}{ \frac{3 {x}^{2} }{x + 4} } \\ \\ = \frac{ {x}^{2} }{x - 1} \times \frac{x + 4}{3 {x}^{2}} \\ \\ = \frac{1 }{x - 1} \times \frac{x + 4}{3} \\ \\ = \frac{x + 4}{3(x - 1)} \\ \\ \huge \boxed{ \red{ \therefore \: \frac{ \frac{ {x}^{2} }{x - 1}}{ \frac{3 {x}^{2} }{x + 4} } } = \purple{ \frac{x + 4}{3(x - 1)} }}[/tex]
