1) $$ \frac{3}{4} \cdot \frac{5}{12} = \frac{3 \cdot 5}{4 \cdot 12} = \frac{15}{48} = \frac{5}{16} $$
2) $$ \frac{16}{17} : 5 \frac{6}{7} = \frac{16}{17} : \frac{41}{7} = \frac{16}{17} \cdot \frac{7}{41} = \frac{16 \cdot 7}{17 \cdot 41} = \frac{112}{697} $$
3) $$ \frac{6}{9} \cdot 51 = \frac{6 \cdot 51}{9} = \frac{6 \cdot 17 \cdot 3}{3 \cdot 3} = \frac{6 \cdot 17}{3} = 2 \cdot 17 = 34 $$
Ответ: 1) $$\frac{5}{16}$$; 2) $$\frac{112}{697}$$; 3) $$34$$