Solution
Decimal equivalent of :
$$\frac{13}{15} = 0.87$$
$$\frac{11}{13} = 0.85$$
$$\frac{7}{8} = 0.875$$
$$\frac{8}{9} = 0.89$$
Clearly, 0.85 < 0.87 < 0.875 < 0.89
=> $$\frac{11}{13} < \frac{13}{15} < \frac{7}{8} < \frac{8}{9}$$
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