$$100\frac{50}{109} : 25 = (100:25) + (\frac{50}{109} : 25) = 4 + \frac{50}{109 \cdot 25} = 4 + \frac{50}{2725} = 4 + \frac{2}{109} = 4\frac{2}{109}$$
Ответ: $$4\frac{2}{109}$$