Answer
$$-\frac{1}{3}$$
Work Step by Step
Recall, one never divides by a fraction. Rather, if we want to divide by a fraction, we multiply by the reciprocal of the fraction. Recall, the reciprocal of a fraction is that fraction with the numerator and the denominator switched. Thus, we find:
$$ -\frac{2}{9}\times \frac{6}{4}\\ -\frac{2\times \:3}{9\times \:2} \\ -\frac{3}{9}\\ -\frac{1}{3}$$
