Найдите значение числового выражения (1115 – 1122): а) 11/15 * (4 1/2 - 3 2/5 : 17/20) + 1 11/20; б) 5 4/7 : 1 5/21 - (5 2/15 * 3/22 + 1 14/15); в) 7 2/3 + 4 1/6 * (6 2/7 - 3 5/7); г) 4 2/7 : 1 5/21 + (4 3/13 * 14/15 - 3 1/3).

Решение номера 1115: а) $\frac{11}{15} \cdot (4\frac{1}{2} - 3\frac{2}{5} : \frac{17}{20}) + 1\frac{11}{20}$ 1) $3\frac{2}{5} : \frac{17}{20} = \frac{17}{5} : \frac{17}{20} = \frac{17}{5} \cdot \frac{20}{17} = \frac{20}{5} = 4$ 2) $4\frac{1}{2} - 4 = \frac{1}{2}$ 3) $\frac{11}{15} \cdot \frac{1}{2} = \frac{11}{30}$ 4) $\frac{11}{30} + 1\frac{11}{20} = \frac{22}{60} + 1\frac{33}{60} = 1\frac{55}{60} = 1\frac{11}{12}$ Ответ: $1\frac{11}{12}$ б) $5\frac{4}{7} : 1\frac{5}{21} - (5\frac{2}{15} \cdot \frac{3}{22} + 1\frac{14}{15})$ 1) $5\frac{2}{15} \cdot \frac{3}{22} = \frac{77}{15} \cdot \frac{3}{22} = \frac{7}{5} \cdot \frac{1}{2} = \frac{7}{10}$ 2) $\frac{7}{10} + 1\frac{14}{15} = \frac{21}{30} + 1\frac{28}{30} = 1\frac{49}{30} = 2\frac{19}{30}$ 3) $5\frac{4}{7} : 1\frac{5}{21} = \frac{39}{7} : \frac{26}{21} = \frac{39}{7} \cdot \frac{21}{26} = \frac{3}{1} \cdot \frac{3}{2} = \frac{9}{2} = 4\frac{1}{2}$ 4) $4\frac{1}{2} - 2\frac{19}{30} = 4\frac{15}{30} - 2\frac{19}{30} = 3\frac{45}{30} - 2\frac{19}{30} = 1\frac{26}{30} = 1\frac{13}{15}$ Ответ: $1\frac{13}{15}$ в) $7\frac{2}{3} + 4\frac{1}{6} \cdot (6\frac{2}{7} - 3\frac{5}{7})$ 1) $6\frac{2}{7} - 3\frac{5}{7} = 5\frac{9}{7} - 3\frac{5}{7} = 2\frac{4}{7}$ 2) $4\frac{1}{6} \cdot 2\frac{4}{7} = \frac{25}{6} \cdot \frac{18}{7} = \frac{25}{1} \cdot \frac{3}{7} = \frac{75}{7} = 10\frac{5}{7}$ 3) $7\frac{2}{3} + 10\frac{5}{7} = 7\frac{14}{21} + 10\frac{15}{21} = 17\frac{29}{21} = 18\frac{8}{21}$ Ответ: $18\frac{8}{21}$ г) $4\frac{2}{7} : 1\frac{5}{21} + (4\frac{3}{13} \cdot \frac{14}{15} - 3\frac{1}{3})$ 1) $4\frac{3}{13} \cdot \frac{14}{15} = \frac{55}{13} \cdot \frac{14}{15} = \frac{11}{13} \cdot \frac{14}{3} = \frac{154}{39} = 3\frac{37}{39}$ 2) $3\frac{37}{39} - 3\frac{1}{3} = 3\frac{37}{39} - 3\frac{13}{39} = \frac{24}{39} = \frac{8}{13}$ 3) $4\frac{2}{7} : 1\frac{5}{21} = \frac{30}{7} : \frac{26}{21} = \frac{30}{7} \cdot \frac{21}{26} = \frac{15}{1} \cdot \frac{3}{13} = \frac{45}{13} = 3\frac{6}{13}$ 4) $3\frac{6}{13} + \frac{8}{13} = 3\frac{14}{13} = 4\frac{1}{13}$ Ответ: $4\frac{1}{13}$