Конечно, я помогу тебе с этими примерами! Тут много вычислений с дробями, но мы справимся.
**Задание 3**
1) $1\frac{5}{36} + 5\frac{1}{9} = 1\frac{5}{36} + 5\frac{4}{36} = 6\frac{9}{36} = 6\frac{1}{4}$
2) $1\frac{20}{32} + 3\frac{1}{2} = 1\frac{5}{8} + 3\frac{4}{8} = 4\frac{9}{8} = 5\frac{1}{8}$
3) $2\frac{28}{35} + 6\frac{1}{8} = 2\frac{4}{5} + 6\frac{1}{8} = 2\frac{32}{40} + 6\frac{5}{40} = 8\frac{37}{40}$
4) $1\frac{7}{16} + 2\frac{5}{25} = 1\frac{7}{16} + 2\frac{1}{5} = 1\frac{35}{80} + 2\frac{16}{80} = 3\frac{51}{80}$
5) $1\frac{11}{20} + 10\frac{5}{8} = 1\frac{22}{40} + 10\frac{25}{40} = 11\frac{47}{40} = 12\frac{7}{40}$
6) $3\frac{2}{15} - 1\frac{21}{36} = 3\frac{2}{15} - 1\frac{7}{12} = 3\frac{8}{60} - 1\frac{35}{60} = 2\frac{68}{60} - 1\frac{35}{60} = 1\frac{33}{60} = 1\frac{11}{20}$
7) $9\frac{1}{4} - 1\frac{8}{25} = 9\frac{25}{100} - 1\frac{32}{100} = 8\frac{125}{100} - 1\frac{32}{100} = 7\frac{93}{100}$
8) $2\frac{1}{4} - 3\frac{2}{5} = 2\frac{5}{20} - 3\frac{8}{20} = - \frac{23}{20} = -1 \frac{3}{20}$
9) $1\frac{30}{32} - 2\frac{3}{4} = 1\frac{15}{16} - 2\frac{12}{16} = -1\frac{13}{16}$
10) $3\frac{19}{24} - 1\frac{3}{30} = 3\frac{95}{120} - 1\frac{12}{120} = 2\frac{83}{120}$
11) $6\frac{1}{4} * 2\frac{9}{10} = \frac{25}{4} * \frac{29}{10} = \frac{25*29}{4*10} = \frac{725}{40} = \frac{145}{8} = 18 \frac{1}{8}$
12) $3\frac{1}{6} * 3\frac{9}{12} = \frac{19}{6} * \frac{45}{12} = \frac{19*45}{6*12} = \frac{855}{72} = \frac{285}{24} = \frac{95}{8} = 11\frac{7}{8}$
13) $2\frac{1}{20} : 1\frac{12}{13} = \frac{41}{20} : \frac{25}{13} = \frac{41}{20} * \frac{13}{25} = \frac{41*13}{20*25} = \frac{533}{500} $
14) $6\frac{2}{7} : 2\frac{12}{14} = \frac{44}{7} : \frac{40}{14} = \frac{44}{7} * \frac{14}{40} = \frac{44*14}{7*40} = \frac{616}{280} = \frac{22}{10} = \frac{11}{5} = 2\frac{1}{5}$
15) $3\frac{3}{5} : 1\frac{5}{35} = \frac{18}{5} : \frac{40}{35} = \frac{18}{5} * \frac{35}{40} = \frac{18*35}{5*40} = \frac{630}{200} = \frac{63}{20} = 3\frac{3}{20}$
**Задание 4**
1) $(\frac{14}{20} + 2\frac{15}{27}) * 27 = (\frac{7}{10} + 2\frac{5}{9}) * 27 = (\frac{63}{90} + 2\frac{50}{90}) * 27 = 2\frac{113}{90} * 27 = \frac{293}{90} * 27 = \frac{293 * 27}{90} = \frac{293 * 3}{10} = \frac{879}{10} = 87,9$
2) $(2\frac{1}{2} - \frac{12}{15}) * \frac{1}{34} = (2\frac{1}{2} - \frac{4}{5}) * \frac{1}{34} = (2\frac{5}{10} - \frac{8}{10}) * \frac{1}{34} = 1\frac{15}{10} * \frac{1}{34} = \frac{25}{10} * \frac{1}{34} = \frac{5}{2} * \frac{1}{34} = \frac{5}{68}$
3) $(2\frac{4}{10} + 1\frac{13}{20}) * \frac{4}{9} = (2\frac{8}{20} + 1\frac{13}{20}) * \frac{4}{9} = 3\frac{21}{20} * \frac{4}{9} = \frac{81}{20} * \frac{4}{9} = \frac{9}{5} * 1 = \frac{9}{5} = 1,8$
4) $(\frac{8}{16} - 3\frac{3}{18}) * 12 = (\frac{1}{2} - 3\frac{1}{6}) * 12 = (\frac{3}{6} - 3\frac{1}{6}) * 12 = -2\frac{4}{6} * 12 = -2\frac{2}{3} * 12 = -\frac{8}{3} * 12 = -32$
5) $(1\frac{3}{20} + 2\frac{7}{10}) * \frac{3}{11} = (1\frac{3}{20} + 2\frac{14}{20}) * \frac{3}{11} = 3\frac{17}{20} * \frac{3}{11} = \frac{77}{20} * \frac{3}{11} = \frac{7}{20} * 3 = \frac{21}{20} = 1\frac{1}{20}$
6) $1\frac{8}{16} : (4\frac{13}{14} + \frac{3}{7}) = 1\frac{1}{2} : (4\frac{13}{14} + \frac{6}{14}) = \frac{3}{2} : 4\frac{19}{14} = \frac{3}{2} : \frac{75}{14} = \frac{3}{2} * \frac{14}{75} = \frac{1}{1} * \frac{7}{25} = \frac{7}{25}$
7) $1\frac{17}{34} : (8\frac{1}{6} + 2\frac{6}{24}) = 1\frac{1}{2} : (8\frac{4}{24} + 2\frac{6}{24}) = \frac{3}{2} : 10\frac{10}{24} = \frac{3}{2} : 10\frac{5}{12} = \frac{3}{2} : \frac{125}{12} = \frac{3}{2} * \frac{12}{125} = \frac{3}{1} * \frac{6}{125} = \frac{18}{125}$
8) $2\frac{11}{36} : (1\frac{3}{27} + 3\frac{10}{20}) = 2\frac{11}{36} : (1\frac{1}{9} + 3\frac{1}{2}) = 2\frac{11}{36} : (1\frac{2}{18} + 3\frac{9}{18}) = 2\frac{11}{36} : 4\frac{11}{18} = \frac{83}{36} : \frac{83}{18} = \frac{83}{36} * \frac{18}{83} = \frac{1}{2}$
9) $2\frac{3}{5} : (1\frac{12}{30} - 1\frac{10}{27}) = \frac{13}{5} : (1\frac{2}{5} - 1\frac{10}{27}) = \frac{13}{5} : (\frac{7}{5} - \frac{37}{27}) = \frac{13}{5} : (\frac{189}{135} - \frac{185}{135}) = \frac{13}{5} : \frac{4}{135} = \frac{13}{5} * \frac{135}{4} = \frac{13}{1} * \frac{27}{4} = \frac{351}{4} = 87,75$
10) $18\frac{1}{5} : (2\frac{12}{30} - 2\frac{5}{6}) = \frac{91}{5} : (2\frac{2}{5} - 2\frac{5}{6}) = \frac{91}{5} : (\frac{12}{5} - \frac{17}{6}) = \frac{91}{5} : (\frac{72}{30} - \frac{85}{30}) = \frac{91}{5} : (-\frac{13}{30}) = \frac{91}{5} * -\frac{30}{13} = \frac{7}{1} * -\frac{6}{1} = -42$
Надеюсь, теперь тебе всё понятно! Если что, спрашивай.