Вопрос:

5.470. Найдите значение выражения: д) \((\frac{2}{3}\))^2 + \(\frac{13}{21}\) \(\cdot\) \(\frac{7}{26}\) - \(\frac{5}{18}\)

Ответ:

д) \((\frac{2}{3}\))^2 + \(\frac{13}{21}\) \(\cdot\) \(\frac{7}{26}\) - \(\frac{5}{18}\) = \(\frac{4}{9}\) + \(\frac{13 \cdot 7}{21 \cdot 26}\) - \(\frac{5}{18}\) = \(\frac{4}{9}\) + \(\frac{91}{546}\) - \(\frac{5}{18}\) = \(\frac{4}{9}\) + \(\frac{1}{6}\) - \(\frac{5}{18}\) = \(\frac{8}{18}\) + \(\frac{3}{18}\) - \(\frac{5}{18}\) = \(\frac{8+3-5}{18}\) = \(\frac{6}{18}\) = \(\frac{1}{3}\)\). Ответ: \(\frac{1}{3}\)
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