Rational expressions in lowest terms
4y
------------
2xy + 4y
Divide numerator and denominator by 2y.
That leaves you with 2y/(x + 2), which is in lowest terms. You have cancelled out the largest common factor.
4y
------------
2xy + 4y
That leaves you with 2y/(x + 2), which is in lowest terms. You have cancelled out the largest common factor.