$$\frac{48}{49} \cdot \frac{35}{16} = \frac{48 \cdot 35}{49 \cdot 16} = \frac{1680}{784} $$.
Сократим дробь на 112.
$$\frac{1680}{784} = \frac{1680:112}{784:112} = \frac{15}{7} $$.
Ответ: $$\frac{15}{7}$$