ЗАДАНИЕ 2. 1) 4 : 2\frac{2}{5}; 4) \frac{11}{18} : 2\frac{4}{9}; 7) 18 : 2\frac{1}{4}; 10) 2\frac{2}{3} : 1\frac{1}{6}; 2) 6 : 1\frac{5}{7}; 5) \frac{15}{14} : 2\frac{6}{7}; 8) 10 : 1\frac{7}{8}; 11) 1\frac{2}{3} : 2\frac{1}{2}; 3) 26 : 1\frac{4}{9}; 6) \frac{11}{30} : 1\frac{7}{15}; 9) 35 : 2\frac{4}{5}; 12) 4\frac{3}{5} : \frac{5}{23}.

Решим примеры, представленные в задании.

1) $$4 : 2\frac{2}{5} = 4 : \frac{12}{5} = 4 \cdot \frac{5}{12} = \frac{4 \cdot 5}{12} = \frac{20}{12} = \frac{5}{3} = 1\frac{2}{3}$$

2) $$6 : 1\frac{5}{7} = 6 : \frac{12}{7} = 6 \cdot \frac{7}{12} = \frac{6 \cdot 7}{12} = \frac{42}{12} = \frac{7}{2} = 3\frac{1}{2}$$

3) $$26 : 1\frac{4}{9} = 26 : \frac{13}{9} = 26 \cdot \frac{9}{13} = \frac{26 \cdot 9}{13} = \frac{2 \cdot 9}{1} = 18$$

4) $$\frac{11}{18} : 2\frac{4}{9} = \frac{11}{18} : \frac{22}{9} = \frac{11}{18} \cdot \frac{9}{22} = \frac{11 \cdot 9}{18 \cdot 22} = \frac{1 \cdot 1}{2 \cdot 2} = \frac{1}{4}$$

5) $$\frac{15}{14} : 2\frac{6}{7} = \frac{15}{14} : \frac{20}{7} = \frac{15}{14} \cdot \frac{7}{20} = \frac{15 \cdot 7}{14 \cdot 20} = \frac{3 \cdot 1}{2 \cdot 4} = \frac{3}{8}$$

6) $$\frac{11}{30} : 1\frac{7}{15} = \frac{11}{30} : \frac{22}{15} = \frac{11}{30} \cdot \frac{15}{22} = \frac{11 \cdot 15}{30 \cdot 22} = \frac{1 \cdot 1}{2 \cdot 2} = \frac{1}{4}$$

7) $$18 : 2\frac{1}{4} = 18 : \frac{9}{4} = 18 \cdot \frac{4}{9} = \frac{18 \cdot 4}{9} = \frac{2 \cdot 4}{1} = 8$$

8) $$10 : 1\frac{7}{8} = 10 : \frac{15}{8} = 10 \cdot \frac{8}{15} = \frac{10 \cdot 8}{15} = \frac{2 \cdot 8}{3} = \frac{16}{3} = 5\frac{1}{3}$$

9) $$35 : 2\frac{4}{5} = 35 : \frac{14}{5} = 35 \cdot \frac{5}{14} = \frac{35 \cdot 5}{14} = \frac{5 \cdot 5}{2} = \frac{25}{2} = 12\frac{1}{2}$$

10) $$2\frac{2}{3} : 1\frac{1}{6} = \frac{8}{3} : \frac{7}{6} = \frac{8}{3} \cdot \frac{6}{7} = \frac{8 \cdot 6}{3 \cdot 7} = \frac{8 \cdot 2}{1 \cdot 7} = \frac{16}{7} = 2\frac{2}{7}$$

11) $$1\frac{2}{3} : 2\frac{1}{2} = \frac{5}{3} : \frac{5}{2} = \frac{5}{3} \cdot \frac{2}{5} = \frac{5 \cdot 2}{3 \cdot 5} = \frac{1 \cdot 2}{3 \cdot 1} = \frac{2}{3}$$

12) $$4\frac{3}{5} : \frac{5}{23} = \frac{23}{5} : \frac{5}{23} = \frac{23}{5} \cdot \frac{23}{5} = \frac{23 \cdot 23}{5 \cdot 5} = \frac{529}{25} = 21\frac{4}{25}$$

Ответ: 1) $$1\frac{2}{3}$$; 2) $$3\frac{1}{2}$$; 3) $$18$$; 4) $$\frac{1}{4}$$; 5) $$\frac{3}{8}$$; 6) $$\frac{1}{4}$$; 7) $$8$$; 8) $$5\frac{1}{3}$$; 9) $$12\frac{1}{2}$$; 10) $$2\frac{2}{7}$$; 11) $$\frac{2}{3}$$; 12) $$21\frac{4}{25}$$