a) $$ \frac{14}{17} \cdot \frac{34}{63} = \frac{14 \cdot 34}{17 \cdot 63} = \frac{14 \cdot 2 \cdot 17}{17 \cdot 63} = \frac{14 \cdot 2}{63} = \frac{28}{63} = \frac{4 \cdot 7}{9 \cdot 7} = \frac{4}{9}$$
б) $$ \frac{35}{16} \cdot \frac{7}{8} = \frac{35 \cdot 7}{16 \cdot 8} = \frac{245}{128} = 1 \frac{117}{128} $$
г) $$ \frac{51}{103} \cdot \frac{103}{119} = \frac{51 \cdot 103}{103 \cdot 119} = \frac{51}{119} = \frac{3 \cdot 17}{7 \cdot 17} = \frac{3}{7} $$
г) $$ \frac{4}{15} \cdot \frac{30}{49} = \frac{4 \cdot 30}{15 \cdot 49} = \frac{4 \cdot 2 \cdot 15}{15 \cdot 49} = \frac{4 \cdot 2}{49} = \frac{8}{49} $$
Ответ: а) $$\frac{4}{9}$$, б) $$1 \frac{117}{128}$$, г) $$\frac{3}{7}$$, г) $$\frac{8}{49}$$