2.322 Вычислите: a) $$ (1\frac{1}{2})^3 - 2\frac{1}{3} \cdot 1\frac{1}{4} $$; б) $$ \frac{4}{9} \cdot (3\frac{3}{14})^2 $$;

a) $$ (1\frac{1}{2})^3 - 2\frac{1}{3} \cdot 1\frac{1}{4} = (\frac{3}{2})^3 - \frac{7}{3} \cdot \frac{5}{4} = \frac{27}{8} - \frac{35}{12} = \frac{27 \cdot 3 - 35 \cdot 2}{24} = \frac{81 - 70}{24} = \frac{11}{24} $$; б) $$ \frac{4}{9} \cdot (3\frac{3}{14})^2 = \frac{4}{9} \cdot (\frac{45}{14})^2 = \frac{4}{9} \cdot \frac{2025}{196} = \frac{4}{1} \cdot \frac{225}{196} = \frac{1}{1} \cdot \frac{225}{49} = \frac{225}{49} = 4\frac{29}{49} $$.