3. Сравните дроби: 3 7 5 и 10 3 1 5 и 3 2 4 3 и 5 3 5 4 и 6 1 2 2 и 4 2 1 5 и 4 4 4 9 и 8 2 2 7 и 5 3 7 10 и 10 9 5 12 и 12 1 3 5 и 7

3. Сравним дроби:

1. $$\frac{3}{5}$$ и $$\frac{7}{10}$$

   $$\frac{3}{5} = \frac{3 \cdot 2}{5 \cdot 2} = \frac{6}{10}$$ $$\frac{6}{10} < \frac{7}{10}$$

2. $$\frac{3}{5}$$ и $$\frac{1}{3}$$

   $$\frac{3}{5} = \frac{3 \cdot 3}{5 \cdot 3} = \frac{9}{15}$$ $$\frac{1}{3} = \frac{1 \cdot 5}{3 \cdot 5} = \frac{5}{15}$$ $$\frac{9}{15} > \frac{5}{15}$$

3. $$\frac{2}{3}$$ и $$\frac{4}{5}$$

   $$\frac{2}{3} = \frac{2 \cdot 5}{3 \cdot 5} = \frac{10}{15}$$ $$\frac{4}{5} = \frac{4 \cdot 3}{5 \cdot 3} = \frac{12}{15}$$ $$\frac{10}{15} < \frac{12}{15}$$

4. $$\frac{3}{4}$$ и $$\frac{5}{6}$$

   $$\frac{3}{4} = \frac{3 \cdot 3}{4 \cdot 3} = \frac{9}{12}$$ $$\frac{5}{6} = \frac{5 \cdot 2}{6 \cdot 2} = \frac{10}{12}$$ $$\frac{9}{12} < \frac{10}{12}$$

5. $$\frac{1}{2}$$ и $$\frac{2}{4}$$

   $$\frac{1}{2} = \frac{1 \cdot 2}{2 \cdot 2} = \frac{2}{4}$$ $$\frac{2}{4} = \frac{2}{4}$$ $$\frac{2}{4} = \frac{2}{4}$$

6. $$\frac{2}{5}$$ и $$\frac{1}{4}$$

   $$\frac{2}{5} = \frac{2 \cdot 4}{5 \cdot 4} = \frac{8}{20}$$ $$\frac{1}{4} = \frac{1 \cdot 5}{4 \cdot 5} = \frac{5}{20}$$ $$\frac{8}{20} > \frac{5}{20}$$

7. $$\frac{4}{9}$$ и $$\frac{4}{8}$$

   $$\frac{4}{9} = \frac{4 \cdot 8}{9 \cdot 8} = \frac{32}{72}$$ $$\frac{4}{8} = \frac{4 \cdot 9}{8 \cdot 9} = \frac{36}{72}$$ $$\frac{32}{72} < \frac{36}{72}$$

8. $$\frac{2}{7}$$ и $$\frac{2}{5}$$

   $$\frac{2}{7} = \frac{2 \cdot 5}{7 \cdot 5} = \frac{10}{35}$$ $$\frac{2}{5} = \frac{2 \cdot 7}{5 \cdot 7} = \frac{14}{35}$$ $$\frac{10}{35} < \frac{14}{35}$$

9. $$\frac{3}{10}$$ и $$\frac{7}{10}$$

   $$\frac{3}{10} < \frac{7}{10}$$

10. $$\frac{9}{12}$$ и $$\frac{5}{12}$$

    $$\frac{9}{12} > \frac{5}{12}$$

11. $$\frac{1}{5}$$ и $$\frac{3}{7}$$

    $$\frac{1}{5} = \frac{1 \cdot 7}{5 \cdot 7} = \frac{7}{35}$$ $$\frac{3}{7} = \frac{3 \cdot 5}{7 \cdot 5} = \frac{15}{35}$$ $$\frac{7}{35} < \frac{15}{35}$$

Ответ: 1) 3/5 < 7/10; 2) 3/5 > 1/3; 3) 2/3 < 4/5; 4) 3/4 < 5/6; 5) 1/2 = 2/4; 6) 2/5 > 1/4; 7) 4/9 < 4/8; 8) 2/7 < 2/5; 9) 3/10 < 7/10; 10) 9/12 > 5/12; 11) 1/5 < 3/7