$$\frac{12\ }{13}\times\frac{285\ }{96}\div\frac{171\ }{169}$$
$$=\frac{12\ }{13}\times\frac{285\ }{96}\times\frac{169\ }{171}$$
$$=\frac{1\ }{1}\times\frac{285\ }{8}\times\frac{13\ }{171}$$
$$=\frac{1\ }{1}\times\frac{15\ }{8}\times\frac{13\ }{9}$$
$$=\frac{1\ }{1}\times\frac{5\ }{8}\times\frac{13\ }{3}$$
$$=\frac{65\ }{24}$$
$$=2\frac{17\ }{24}.$$
B is correct choice.
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