Question

Simplify
X^2
X-1
3x^2
X+4

Answer 1

(x+4)/(3x-3)

Explanation:

You want to simplify the compound fraction ((x²/(x-1))/((3x²/(x+4)).

Division of fractions

As with numerical fractions division by a fraction is the same as multiplication by its inverse. Common factors in the numerator and denominator cancel.

`(\left((x^2)/(x-1)\right))/(\left((3x^2)/(x+4)\right))=(x^2)/(x-1)*(x+4)/(3x^2)=(x+4)/(3(x-1))=\boxed{(x+4)/(3x-3)}`