6. Выполните действия: a) 29.(9-41)-29.(19-41); б) 1\frac{7}{17}\cdot(\frac{5}{8}+\frac{1}{6}); в) 0,45:\frac{9}{2};

a) 29 ⋅ (9-41) - 29 ⋅ (19-41) = 29 ⋅ (-32) - 29 ⋅ (-22) = -928 + 638 = -290

б) $$1\frac{7}{17} \cdot (\frac{5}{8} + \frac{1}{6}) = \frac{24}{17} \cdot (\frac{15}{24} + \frac{4}{24}) = \frac{24}{17} \cdot \frac{19}{24} = \frac{19}{17} = 1\frac{2}{17}$$

в) 0,45 : $$\frac{9}{2}$$ = $$\frac{45}{100}$$ : $$\frac{9}{2}$$ = $$\frac{9}{20}$$ : $$\frac{9}{2}$$ = $$\frac{9}{20}$$ ⋅ $$\frac{2}{9}$$ = $$\frac{1}{10}$$ = 0,1

Ответ: а) -290; б) $$1\frac{2}{17}$$; в) 0,1