Вопрос:

42. Сравните дроби: 1) $$ rac{8}{9}$$ и $$ rac{17}{18}$$; 2) $$ rac{6}{7}$$ и $$ rac{17}{21}$$; 3) $$ rac{7}{12}$$ и $$ rac{11}{15}$$; 4) $$ rac{5}{9}$$ и $$ rac{4}{7}$$; 5) $$ rac{7}{15}$$ и $$ rac{13}{18}$$; 6) $$ rac{7}{36}$$ и $$ rac{11}{42}$$

Ответ:

1) $$ rac{8}{9} = \frac{16}{18}$$ < $$ rac{17}{18}$$ 2) $$ rac{6}{7} = \frac{18}{21}$$ > $$ rac{17}{21}$$ 3) $$ rac{7}{12} = \frac{35}{60}$$ $$\frac{11}{15} = \frac{44}{60}$$ $$\frac{35}{60} < \frac{44}{60}$$ $$\frac{7}{12} < \frac{11}{15}$$ 4) $$\frac{5}{9} = \frac{35}{63}$$ $$\frac{4}{7} = \frac{36}{63}$$ $$\frac{35}{63} < \frac{36}{63}$$ $$\frac{5}{9} < \frac{4}{7}$$ 5) $$\frac{7}{15} = \frac{42}{90}$$ $$\frac{13}{18} = \frac{65}{90}$$ $$\frac{42}{90} < \frac{65}{90}$$ $$\frac{7}{15} < \frac{13}{18}$$ 6) $$\frac{7}{36} = \frac{49}{252}$$ $$\frac{11}{42} = \frac{66}{252}$$ $$\frac{49}{252} < \frac{66}{252}$$ $$\frac{7}{36} < \frac{11}{42}$$
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