Converting each of the given fractions into decimal form, we get: $$\frac{5}{9}=0.55, \frac{7}{11}=0.63, \frac{8}{15}=0.533, \frac{11}{17}=0.647 .$$ Clearly, 0.647 > 0.63 > 0.55 > 0.533. $$\text { So, } \frac{11}{17}>\frac{7}{11}>\frac{5}{9}>\frac{8}{15} \text {. }$$
Explanation as extracted from the printed page; notation may be imperfect.