19\(\frac{1}{2}\) \(\left\)\(\frac{3}{4} - \frac{1}{11} \right\) - \(\frac{111}{20}\) \(\cdot\) \(\frac{3}{20}\)

Решение:

Выполним действия по порядку:

1. \( \frac{3}{4} - \frac{1}{11} = \frac{33}{44} - \frac{4}{44} = \frac{29}{44} \)
2. \( 19\frac{1}{2} = \frac{39}{2} \)
3. \( \frac{39}{2} \cdot \frac{29}{44} = \frac{1131}{88} \)
4. \( \frac{111}{20} \cdot \frac{3}{20} = \frac{333}{400} \)
5. \( \frac{1131}{88} - \frac{333}{400} = \frac{1131 \cdot 50 - 333 \cdot 11}{4400} = \frac{56550 - 3663}{4400} = \frac{52887}{4400} \)

Ответ: \( \frac{52887}{4400} \).