Вычислите: 2 5/6 : (3/8 - 10/3) + 8 * 1 1/5

Привет! Давай решим примеры. Для всех задач алгоритм действий такой: 1. Действие в скобках (вычитание дробей). 2. Деление. 3. Умножение. 4. Сложение результатов. **11. $2\frac{5}{6} : (\frac{3}{8} - \frac{10}{3}) + 8 \cdot 1\frac{1}{5}$** 1) $\frac{3}{8} - \frac{10}{3} = \frac{9-80}{24} = -\frac{71}{24}$ 2) $2\frac{5}{6} : (-\frac{71}{24}) = \frac{17}{6} \cdot (-\frac{24}{71}) = -\frac{17 \cdot 4}{71} = -\frac{68}{71}$ 3) $8 \cdot 1\frac{1}{5} = 8 \cdot \frac{6}{5} = \frac{48}{5} = 9\frac{3}{5} = 9,6$ 4) $-\frac{68}{71} + 9,6 \approx -0,9577 + 9,6 = 8,6423$ **12. $1\frac{4}{9} : (\frac{8}{7} - \frac{19}{6}) + 13 \cdot 1\frac{2}{5}$** 1) $\frac{8}{7} - \frac{19}{6} = \frac{48-133}{42} = -\frac{85}{42}$ 2) $1\frac{4}{9} : (-\frac{85}{42}) = \frac{13}{9} \cdot (-\frac{42}{85}) = -\frac{13 \cdot 14}{3 \cdot 85} = -\frac{182}{255}$ 3) $13 \cdot 1\frac{2}{5} = 13 \cdot \frac{7}{5} = \frac{91}{5} = 18,2$ 4) $-\frac{182}{255} + 18,2 \approx -0,7137 + 18,2 = 17,4863$ **13. $2\frac{7}{10} : (\frac{9}{13} - \frac{29}{4}) + 18 \cdot 1\frac{3}{8}$** 1) $\frac{9}{13} - \frac{29}{4} = \frac{36-377}{52} = -\frac{341}{52}$ 2) $2\frac{7}{10} : (-\frac{341}{52}) = \frac{27}{10} \cdot (-\frac{52}{341}) = -\frac{27 \cdot 26}{5 \cdot 341} = -\frac{702}{1705}$ 3) $18 \cdot 1\frac{3}{8} = 18 \cdot \frac{11}{8} = \frac{9 \cdot 11}{4} = \frac{99}{4} = 24,75$ 4) $-\frac{702}{1705} + 24,75 \approx -0,4117 + 24,75 = 24,3383$ **14. $4\frac{1}{3} : (\frac{7}{12} - \frac{13}{4}) + 9 \cdot 2\frac{2}{7}$** 1) $\frac{7}{12} - \frac{13}{4} = \frac{7-39}{12} = -\frac{32}{12} = -\frac{8}{3}$ 2) $4\frac{1}{3} : (-\frac{8}{3}) = \frac{13}{3} \cdot (-\frac{3}{8}) = -\frac{13}{8} = -1,625$ 3) $9 \cdot 2\frac{2}{7} = 9 \cdot \frac{16}{7} = \frac{144}{7} \approx 20,5714$ 4) $-1,625 + 20,5714 = 18,9464$ **15. $2\frac{4}{5} : (\frac{15}{23} - \frac{37}{2}) + 21 \cdot 1\frac{8}{9}$** 1) $\frac{15}{23} - \frac{37}{2} = \frac{30-851}{46} = -\frac{821}{46}$ 2) $2\frac{4}{5} : (-\frac{821}{46}) = \frac{14}{5} \cdot (-\frac{46}{821}) = -\frac{644}{4105} \approx -0,1569$ 3) $21 \cdot 1\frac{8}{9} = 21 \cdot \frac{17}{9} = \frac{7 \cdot 17}{3} = \frac{119}{3} = 39,6667$ 4) $-0,1569 + 39,6667 = 39,5098$ **16. $1\frac{1}{4} : (\frac{4}{5} - \frac{7}{3}) + 6 \cdot 2\frac{3}{5}$** 1) $\frac{4}{5} - \frac{7}{3} = \frac{12-35}{15} = -\frac{23}{15}$ 2) $1\frac{1}{4} : (-\frac{23}{15}) = \frac{5}{4} \cdot (-\frac{15}{23}) = -\frac{75}{92} \approx -0,8152$ 3) $6 \cdot 2\frac{3}{5} = 6 \cdot \frac{13}{5} = \frac{78}{5} = 15,6$ 4) $-0,8152 + 15,6 = 14,7848$ **17. $2\frac{2}{3} : (\frac{5}{9} - \frac{20}{3}) + 14 \cdot 1\frac{3}{4}$** 1) $\frac{5}{9} - \frac{20}{3} = \frac{5-60}{9} = -\frac{55}{9}$ 2) $2\frac{2}{3} : (-\frac{55}{9}) = \frac{8}{3} \cdot (-\frac{9}{55}) = -\frac{8 \cdot 3}{55} = -\frac{24}{55} \approx -0,4364$ 3) $14 \cdot 1\frac{3}{4} = 14 \cdot \frac{7}{4} = \frac{7 \cdot 7}{2} = \frac{49}{2} = 24,5$ 4) $-0,4364 + 24,5 = 24,0636$ **18. $4\frac{1}{2} : (\frac{7}{8} - \frac{22}{5}) + 15 \cdot 2\frac{4}{7}$** 1) $\frac{7}{8} - \frac{22}{5} = \frac{35-176}{40} = -\frac{141}{40}$ 2) $4\frac{1}{2} : (-\frac{141}{40}) = \frac{9}{2} \cdot (-\frac{40}{141}) = -\frac{3 \cdot 20}{47} = -\frac{60}{47} \approx -1,2766$ 3) $15 \cdot 2\frac{4}{7} = 15 \cdot \frac{18}{7} = \frac{270}{7} \approx 38,5714$ 4) $-1,2766 + 38,5714 = 37,2948$ **19. $3\frac{1}{8} : (\frac{4}{11} - \frac{26}{7}) + 17 \cdot 2\frac{5}{9}$** 1) $\frac{4}{11} - \frac{26}{7} = \frac{28-286}{77} = -\frac{258}{77}$ 2) $3\frac{1}{8} : (-\frac{258}{77}) = \frac{25}{8} \cdot (-\frac{77}{258}) = -\frac{1925}{2064} \approx -0,9327$ 3) $17 \cdot 2\frac{5}{9} = 17 \cdot \frac{23}{9} = \frac{391}{9} \approx 43,4444$ 4) $-0,9327 + 43,4444 = 42,5117$ **20. $2\frac{3}{8} : (\frac{4}{5} - \frac{9}{4}) + 5 \cdot 1\frac{2}{7}$** 1) $\frac{4}{5} - \frac{9}{4} = \frac{16-45}{20} = -\frac{29}{20}$ 2) $2\frac{3}{8} : (-\frac{29}{20}) = \frac{19}{8} \cdot (-\frac{20}{29}) = -\frac{19 \cdot 5}{2 \cdot 29} = -\frac{95}{58} \approx -1,6379$ 3) $5 \cdot 1\frac{2}{7} = 5 \cdot \frac{9}{7} = \frac{45}{7} \approx 6,4286$ 4) $-1,6379 + 6,4286 = 4,7907$