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

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

2) \(2\frac{5}{6} \cdot \frac{10}{51} = \frac{17}{6} \cdot \frac{10}{51} = \frac{17 \cdot 10}{6 \cdot 51} = \frac{1 \cdot 5}{3 \cdot 3} = \frac{5}{9}\)

3) \(6 - \frac{5}{9} = \frac{6 \cdot 9 - 5}{9} = \frac{54 - 5}{9} = \frac{49}{9} = 5\frac{4}{9}\)

Ответ: \(5\frac{4}{9}\)