Вопрос:

2.304 Найдите значение выражения: a) \(\frac{3}{7}a\) при \(a = \frac{7}{3}; a = \frac{1}{2}; a = 2\frac{1}{7}; a = 2; a = \frac{3}{33}\); б) \(\frac{5}{12}b\) при \(b = \frac{1}{5}; b = \frac{5}{12}; b = 1\frac{1}{5}; b = 2\frac{2}{5}\).

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Ответ:

a) * \(a = \frac{7}{3}\): \(\frac{3}{7} \cdot \frac{7}{3} = 1\) * \(a = \frac{1}{2}\): \(\frac{3}{7} \cdot \frac{1}{2} = \frac{3}{14}\) * \(a = 2\frac{1}{7} = \frac{15}{7}\): \(\frac{3}{7} \cdot \frac{15}{7} = \frac{45}{49}\) * \(a = 2\): \(\frac{3}{7} \cdot 2 = \frac{6}{7}\) * \(a = \frac{3}{33} = \frac{1}{11}\): \(\frac{3}{7} \cdot \frac{1}{11} = \frac{3}{77}\) б) * \(b = \frac{1}{5}\): \(\frac{5}{12} \cdot \frac{1}{5} = \frac{1}{12}\) * \(b = \frac{5}{12}\): \(\frac{5}{12} \cdot \frac{5}{12} = \frac{25}{144}\) * \(b = 1\frac{1}{5} = \frac{6}{5}\): \(\frac{5}{12} \cdot \frac{6}{5} = \frac{1}{2}\) * \(b = 2\frac{2}{5} = \frac{12}{5}\): \(\frac{5}{12} \cdot \frac{12}{5} = 1\) Ответ: a) \(1; \frac{3}{14}; \frac{45}{49}; \frac{6}{7}; \frac{3}{77}\); б) \(\frac{1}{12}; \frac{25}{144}; \frac{1}{2}; 1\)
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