5.543 Найдите значение выражения: 5 4 a)(+)- 6 9 54 ; 6 9 6)+(3-2): 5.544 Решите уравнение: а) (z - 6).

5.543 Найдите значение выражения:

а) (\(\frac{5}{6}\) + \(\frac{4}{9}\)) - \(\frac{5}{6}\) \(\cdot\) \(\frac{4}{9}\) = (\(\frac{5 \cdot 3}{6 \cdot 3}\) + \(\frac{4 \cdot 2}{9 \cdot 2}\)) - \(\frac{5 \cdot 4}{6 \cdot 9}\) = (\(\frac{15}{18}\) + \(\frac{8}{18}\)) - \(\frac{20}{54}\) = \(\frac{23}{18}\) - \(\frac{20}{54}\) = \(\frac{23 \cdot 3}{18 \cdot 3}\) - \(\frac{20}{54}\) = \(\frac{69}{54}\) - \(\frac{20}{54}\) = \(\frac{49}{54}\) б) \(\frac{2}{8}\) \(\cdot\) \(\frac{8}{8}\) + (3\(\frac{1}{3}\) - 2\(\frac{3}{5}\)) : \(\frac{7}{15}\) = \(\frac{2}{8}\) \(\cdot\) 1 + (\(\frac{10}{3}\) - \(\frac{13}{5}\)) : \(\frac{7}{15}\) = \(\frac{2}{8}\) + (\(\frac{10 \cdot 5}{3 \cdot 5}\) - \(\frac{13 \cdot 3}{5 \cdot 3}\)) : \(\frac{7}{15}\) = \(\frac{2}{8}\) + (\(\frac{50}{15}\) - \(\frac{39}{15}\)) : \(\frac{7}{15}\) = \(\frac{2}{8}\) + \(\frac{11}{15}\) : \(\frac{7}{15}\) = \(\frac{2}{8}\) + \(\frac{11}{15}\) \(\cdot\) \(\frac{15}{7}\) = \(\frac{2}{8}\) + \(\frac{11}{7}\) = \(\frac{1}{4}\) + \(\frac{11}{7}\) = \(\frac{1 \cdot 7}{4 \cdot 7}\) + \(\frac{11 \cdot 4}{7 \cdot 4}\) = \(\frac{7}{28}\) + \(\frac{44}{28}\) = \(\frac{51}{28}\) = 1\(\frac{23}{28}\)