Answer
$-\frac{2}{9}\gt -\frac{3}{13}$
Work Step by Step
The least common multiple of the denominators is 117.
Adjust the fractions based on the least common multiple. For the first fraction, multiply the numerator and denominator by 13.
$ -\frac{2}{9}\times \frac{13}{13}= -\frac{26}{117}$
For the second fraction, multiply the numerator and denominator by 9.
$ -\frac{3}{13}\times \frac{9}{9}= -\frac{27}{117}$
$ -\frac{26}{117}\gt -\frac{27}{117}$
So, $-\frac{2}{9}\gt -\frac{3}{13}$