5. Вычислите: а) ((10 - 1 2/3 * 1 1/2 * 2 1/5) * (1/4 : 9/8 + 1/3) - 1 1/2) : 3 1/3; б) ((1 1/4 * 1 1/3 * 1 1/5 - 1 1/10) * (2 - 7/8 : 3/4) + 3) * 3 3/4

5. Вычислите: а) $\left(\left(10 - 1\frac{2}{3} \cdot 1\frac{1}{2} \cdot 2\frac{1}{5}\right) \cdot \left(\frac{1}{4} : \frac{9}{8} + \frac{1}{3}\right) - 1\frac{1}{2}\right) : 3\frac{1}{3}$ 1) $1\frac{2}{3} \cdot 1\frac{1}{2} \cdot 2\frac{1}{5} = \frac{5}{3} \cdot \frac{3}{2} \cdot \frac{11}{5} = \frac{11}{2} = 5,5$ 2) $10 - 5,5 = 4,5 = \frac{9}{2}$ 3) $\frac{1}{4} : \frac{9}{8} = \frac{1}{4} \cdot \frac{8}{9} = \frac{2}{9}$ 4) $\frac{2}{9} + \frac{1}{3} = \frac{2}{9} + \frac{3}{9} = \frac{5}{9}$ 5) $\frac{9}{2} \cdot \frac{5}{9} = \frac{5}{2} = 2,5$ 6) $2,5 - 1\frac{1}{2} = 2,5 - 1,5 = 1$ 7) $1 : 3\frac{1}{3} = 1 : \frac{10}{3} = \frac{3}{10} = 0,3$ **Ответ: 0,3** б) $\left(\left(1\frac{1}{4} \cdot 1\frac{1}{3} \cdot 1\frac{1}{5} - 1\frac{1}{10}\right) \cdot \left(2 - \frac{7}{8} : \frac{3}{4}\right) + 3\right) \cdot 3\frac{3}{4}$ 1) $1\frac{1}{4} \cdot 1\frac{1}{3} \cdot 1\frac{1}{5} = \frac{5}{4} \cdot \frac{4}{3} \cdot \frac{6}{5} = \frac{6}{3} = 2$ 2) $2 - 1\frac{1}{10} = 2 - 1,1 = 0,9 = \frac{9}{10}$ 3) $\frac{7}{8} : \frac{3}{4} = \frac{7}{8} \cdot \frac{4}{3} = \frac{7}{6} = 1\frac{1}{6}$ 4) $2 - 1\frac{1}{6} = \frac{12}{6} - \frac{7}{6} = \frac{5}{6}$ 5) $\frac{9}{10} \cdot \frac{5}{6} = \frac{3 \cdot 3 \cdot 5}{2 \cdot 5 \cdot 2 \cdot 3} = \frac{3}{4} = 0,75$ 6) $0,75 + 3 = 3,75 = 3\frac{3}{4} = \frac{15}{4}$ 7) $\frac{15}{4} \cdot 3\frac{3}{4} = \frac{15}{4} \cdot \frac{15}{4} = \frac{225}{16} = 14\frac{1}{16} = 14,0625$ **Ответ: 14,0625**