3. Найдите значение выражения: \(1\frac{7}{9}\cdot 3\frac{3}{8}-2\frac{5}{6}\cdot \frac{10}{51}\).

1) \(1\frac{7}{9}\cdot 3\frac{3}{8} = \frac{16}{9}\cdot \frac{27}{8} = \frac{16\cdot 27}{9\cdot 8} = \frac{8\cdot 2 \cdot 9 \cdot 3}{9 \cdot 8} = 2\cdot 3 = 6\)

2) \(2\frac{5}{6}\cdot \frac{10}{51} = \frac{17}{6}\cdot \frac{10}{51} = \frac{17\cdot 10}{6\cdot 51} = \frac{17\cdot 2 \cdot 5}{2\cdot 3\cdot 17 \cdot 3} = \frac{5}{9}\)

3) \(6 - \frac{5}{9} = 5\frac{9}{9} - \frac{5}{9} = 5\frac{4}{9}\)

Ответ: \(5\frac{4}{9}\)