№1. Сравните числа: 1) 2 7 и 5 7 ; 2) 3 5 и 3 2 ; 3)2 5 8 и 2 1 8 ; 4) 2 3 и 4 5 . №2. Найдите значения выражения: 1) 5 8 - 3 8 ; 2) 4 5 12 - 2 7 12 ; 3) 3 8 + 5 24 ; 4) 1 7 12 + 3 5 9 ; 5) 5 12 ⋅ 8 15 ; 6) 2 7 9 ⋅ 3 3 5 ; 7) 1 12 : 1 6 ; 8) 1 7 8 : 4 1 6

Ответ:

№1. Сравните числа:

1. \[\frac{2}{7} < \frac{5}{7}\]

2. \[\frac{3}{5} < \frac{3}{2}\]

3. \[2\frac{5}{8} > 2\frac{1}{8}\]

4. \[\frac{2}{3} < \frac{4}{5}\]

№2. Найдите значения выражения:

1. \[\frac{5}{8} - \frac{3}{8} = \frac{2}{8} = \frac{1}{4}\]

2. \[4\frac{5}{12} - 2\frac{7}{12} = 3\frac{17}{12} - 2\frac{7}{12} = 1\frac{10}{12} = 1\frac{5}{6}\]

3. \[\frac{3}{8} + \frac{5}{24} = \frac{9}{24} + \frac{5}{24} = \frac{14}{24} = \frac{7}{12}\]

4. \[1\frac{7}{12} + 3\frac{5}{9} = 1\frac{21}{36} + 3\frac{20}{36} = 4\frac{41}{36} = 5\frac{5}{36}\]

5. \[\frac{5}{12} \cdot \frac{8}{15} = \frac{1}{3} \cdot \frac{2}{3} = \frac{2}{9}\]

6. \[2\frac{7}{9} \cdot 3\frac{3}{5} = \frac{25}{9} \cdot \frac{18}{5} = 5 \cdot 2 = 10\]

7. \[\frac{1}{12} : \frac{1}{6} = \frac{1}{12} \cdot \frac{6}{1} = \frac{1}{2} \cdot \frac{1}{1} = \frac{1}{2}\]

8. \[1\frac{7}{8} : 4\frac{1}{6} = \frac{15}{8} : \frac{25}{6} = \frac{15}{8} \cdot \frac{6}{25} = \frac{3}{4} \cdot \frac{3}{5} = \frac{9}{20}\]

Ответ: