$${\frac{11}{48}} \cdot {\frac{55}{24}} = {\frac{11 \cdot 55}{48 \cdot 24}} = {\frac{11 \cdot 5 \cdot 11}{48 \cdot 24}} = {\frac{605}{1152}}$$
Ответ: $$\frac{605}{1152}$$