Вопрос:

Вычисли удобным способом: 11\(\frac{5}{15}\) \(\cdot\) 12\(\frac{11}{13}\) + 1\(\frac{11}{15}\) \(\cdot\) 2\(\frac{8}{13}\)

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Ответ:

11\(\frac{5}{15}\) \(\cdot\) 12\(\frac{11}{13}\) + 1\(\frac{11}{15}\) \(\cdot\) 2\(\frac{8}{13}\) = 11\(\frac{1}{3}\) \(\cdot\) 12\(\frac{11}{13}\) + 1\(\frac{11}{15}\) \(\cdot\) 2\(\frac{8}{13}\) = \(\frac{34}{3}\) \(\cdot\) \(\frac{167}{13}\) + \(\frac{26}{15}\) \(\cdot\) \(\frac{34}{13}\) = \(\frac{34}{13}\)(\(\frac{167}{3}\) + \(\frac{26}{15}\)) = \(\frac{34}{13}\)(\(\frac{835}{15}\) + \(\frac{26}{15}\)) = \(\frac{34}{13}\) \(\cdot\) \(\frac{861}{15}\) = \(\frac{34 \(\cdot\) 861}{13 \(\cdot\) 15}\) = \(\frac{34 \(\cdot\) 287}{13 \(\cdot\) 5}\) = \(\frac{9758}{65}\) = 150\(\frac{8}{65}\)

Ответ: 150\(\frac{8}{65}\)

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