Answer
$\frac{5}{9}\gt\frac{6}{11}$
Work Step by Step
The least common multiplier of the denominators is 99, since $ 9\times 11= 99$
Adjust the fractions based on the least common multiplier. For the first fraction, multiply the numerator and denominator by 11.
$ \frac{5}{9}\times \frac{11}{11}= \frac{55}{99}$
For the second multiplier, multiply the numerator and denominator by 9.
$ \frac{6}{11} \times \frac{9}{9}= \frac{54}{99}$
$\frac{55}{99}\gt \frac{54}{99}$
So,
$\frac{5}{9}\gt\frac{6}{11}$