Реши пример 1 из варианта 1: 1/2 + 3/5 =

1) Вариант 1. $\frac{1}{2} + \frac{3}{5} = \frac{5}{10} + \frac{6}{10} = \frac{11}{10} = 1\frac{1}{10}$ 2) Вариант 1. $\frac{1}{3} + \frac{4}{9} + \frac{2}{9} = \frac{3}{9} + \frac{4}{9} + \frac{2}{9} = \frac{9}{9} = 1$ 3) Вариант 1. $\frac{1}{9} + \frac{1}{5} + \frac{1}{3} = \frac{5}{45} + \frac{9}{45} + \frac{15}{45} = \frac{29}{45}$ 4) Вариант 1. $3\frac{1}{8} + 7\frac{5}{8} = (3 + 7) + (\frac{1}{8} + \frac{5}{8}) = 10 + \frac{6}{8} = 10 + \frac{3}{4} = 10\frac{3}{4}$ 5) Вариант 1. $5\frac{3}{8} + 7\frac{5}{12} = 5\frac{9}{24} + 7\frac{10}{24} = (5 + 7) + (\frac{9}{24} + \frac{10}{24}) = 12 + \frac{19}{24} = 12\frac{19}{24}$ 1) Вариант 2. $\frac{5}{9} + \frac{1}{6} = \frac{10}{18} + \frac{3}{18} = \frac{13}{18}$ 2) Вариант 2. $\frac{2}{5} + \frac{3}{5} + \frac{2}{10} = \frac{4}{10} + \frac{6}{10} + \frac{2}{10} = \frac{12}{10} = \frac{6}{5} = 1\frac{1}{5}$ 3) Вариант 2. $\frac{5}{6} + \frac{3}{8} + \frac{1}{4} = \frac{20}{24} + \frac{9}{24} + \frac{6}{24} = \frac{35}{24} = 1\frac{11}{24}$ 4) Вариант 2. $10\frac{2}{5} + 3\frac{4}{5} = (10 + 3) + (\frac{2}{5} + \frac{4}{5}) = 13 + \frac{6}{5} = 13 + 1\frac{1}{5} = 14\frac{1}{5}$ 5) Вариант 2. $15\frac{7}{18} + 11\frac{8}{9} = 15\frac{7}{18} + 11\frac{16}{18} = (15 + 11) + (\frac{7}{18} + \frac{16}{18}) = 26 + \frac{23}{18} = 26 + 1\frac{5}{18} = 27\frac{5}{18}$ 1) Вариант 1. $\frac{7}{15} - \frac{1}{6} = \frac{14}{30} - \frac{5}{30} = \frac{9}{30} = \frac{3}{10}$ 2) Вариант 1. $(\frac{3}{4} - \frac{8}{15}) + \frac{17}{20} = (\frac{45}{60} - \frac{32}{60}) + \frac{17}{20} = \frac{13}{60} + \frac{51}{60} = \frac{64}{60} = \frac{16}{15} = 1\frac{1}{15}$ 3) Вариант 1. $4 - \frac{7}{12} = \frac{48}{12} - \frac{7}{12} = \frac{41}{12} = 3\frac{5}{12}$ 4) Вариант 1. $6\frac{3}{5} - 2\frac{7}{15} = 6\frac{9}{15} - 2\frac{7}{15} = (6 - 2) + (\frac{9}{15} - \frac{7}{15}) = 4 + \frac{2}{15} = 4\frac{2}{15}$ 5) Вариант 1. $9 - (1\frac{5}{8} + \frac{3}{8}) = 9 - (1 + \frac{5}{8} + \frac{3}{8}) = 9 - (1 + \frac{8}{8}) = 9 - (1 + 1) = 9 - 2 = 7$ 1) Вариант 2. $3\frac{1}{8} - \frac{1}{9} = 3\frac{9}{72} - \frac{8}{72} = 3\frac{1}{72}$ 2) Вариант 2. $(\frac{7}{18} - \frac{1}{12}) + \frac{5}{6} = (\frac{14}{36} - \frac{3}{36}) + \frac{5}{6} = \frac{11}{36} + \frac{30}{36} = \frac{41}{36} = 1\frac{5}{36}$ 3) Вариант 2. $7 - \frac{3}{8} = \frac{56}{8} - \frac{3}{8} = \frac{53}{8} = 6\frac{5}{8}$ 4) Вариант 2. $8\frac{3}{4} - 6\frac{1}{5} = 8\frac{15}{20} - 6\frac{4}{20} = (8 - 6) + (\frac{15}{20} - \frac{4}{20}) = 2 + \frac{11}{20} = 2\frac{11}{20}$ 5) Вариант 2. $3 - (\frac{1}{6} + \frac{2}{3}) = 3 - (\frac{1}{6} + \frac{4}{6}) = 3 - \frac{5}{6} = \frac{18}{6} - \frac{5}{6} = \frac{13}{6} = 2\frac{1}{6}$ 1) Вариант 1. $\frac{2}{5} * \frac{15}{12} = \frac{2 * 15}{5 * 12} = \frac{30}{60} = \frac{1}{2}$ 2) Вариант 1. $9 * \frac{5}{27} = \frac{9 * 5}{27} = \frac{45}{27} = \frac{5}{3} = 1\frac{2}{3}$ 3) Вариант 1. $1\frac{3}{7} * \frac{7}{20} = \frac{10}{7} * \frac{7}{20} = \frac{10 * 7}{7 * 20} = \frac{70}{140} = \frac{1}{2}$ 4) Вариант 1. $3\frac{3}{4} * 2\frac{2}{5} = \frac{15}{4} * \frac{12}{5} = \frac{15 * 12}{4 * 5} = \frac{180}{20} = 9$ 5) Вариант 1. $8 * \frac{4}{11} + 8\frac{7}{11} = \frac{32}{11} + 8\frac{7}{11} = 2\frac{10}{11} + 8\frac{7}{11} = (2 + 8) + (\frac{10}{11} + \frac{7}{11}) = 10 + \frac{17}{11} = 10 + 1\frac{6}{11} = 11\frac{6}{11}$ 1) Вариант 2. $\frac{10}{13} * \frac{13}{20} = \frac{10 * 13}{13 * 20} = \frac{130}{260} = \frac{1}{2}$ 2) Вариант 2. $5 * \frac{1}{7} = \frac{5 * 1}{7} = \frac{5}{7}$ 3) Вариант 2. $7\frac{6}{7} * \frac{14}{22} = \frac{55}{7} * \frac{14}{22} = \frac{55 * 14}{7 * 22} = \frac{770}{154} = 5$ 4) Вариант 2. $1\frac{5}{6} * 5\frac{1}{2} = \frac{11}{6} * \frac{11}{2} = \frac{11 * 11}{6 * 2} = \frac{121}{12} = 10\frac{1}{12}$ 5) Вариант 2. $6\frac{1}{7} + 6\frac{6}{7} = (6 + 6) + (\frac{1}{7} + \frac{6}{7}) = 12 + \frac{7}{7} = 12 + 1 = 13$ 1) Вариант 1. $\frac{4}{9} : \frac{8}{9} = \frac{4}{9} * \frac{9}{8} = \frac{4 * 9}{9 * 8} = \frac{36}{72} = \frac{1}{2}$ 2) Вариант 1. $7 : \frac{21}{25} = \frac{7}{1} * \frac{25}{21} = \frac{7 * 25}{1 * 21} = \frac{175}{21} = \frac{25}{3} = 8\frac{1}{3}$ 3) Вариант 1. $\frac{22}{15} : 44 = \frac{22}{15} * \frac{1}{44} = \frac{22 * 1}{15 * 44} = \frac{22}{660} = \frac{1}{30}$ 4) Вариант 1. $5\frac{1}{4} : 7 = \frac{21}{4} * \frac{1}{7} = \frac{21 * 1}{4 * 7} = \frac{21}{28} = \frac{3}{4}$ 1) Вариант 2. $\frac{2}{7} : \frac{3}{7} = \frac{2}{7} * \frac{7}{3} = \frac{2 * 7}{7 * 3} = \frac{14}{21} = \frac{2}{3}$ 2) Вариант 2. $11 : \frac{15}{33} = \frac{11}{1} * \frac{33}{15} = \frac{11 * 33}{1 * 15} = \frac{363}{15} = \frac{121}{5} = 24\frac{1}{5}$ 3) Вариант 2. $\frac{24}{7} : 12 = \frac{24}{7} * \frac{1}{12} = \frac{24 * 1}{7 * 12} = \frac{24}{84} = \frac{2}{7}$ 4) Вариант 2. $1\frac{7}{9} : 8 = \frac{16}{9} * \frac{1}{8} = \frac{16 * 1}{9 * 8} = \frac{16}{72} = \frac{2}{9}$ 5) Вариант 2. $9\frac{1}{3} : 1\frac{3}{4} = \frac{28}{3} * \frac{4}{7} = \frac{28 * 4}{3 * 7} = \frac{112}{21} = \frac{16}{3} = 5\frac{1}{3}$