46 Найдите сумму:

46 Найдите сумму:

1. \( 38\frac{1}{8} + 4\frac{5}{24} \)
1. \( 38 + 4 + \frac{1}{8} + \frac{5}{24} \)
2. \( 42 + \frac{3}{24} + \frac{5}{24} \)
3. \( 42 + \frac{8}{24} \)
4. \( 42 + \frac{1}{3} = 42\frac{1}{3} \)
2. \( 4\frac{19}{75} + 6\frac{17}{45} \)
1. \( 4 + 6 + \frac{19}{75} + \frac{17}{45} \)
2. \( 10 + \frac{57}{225} + \frac{85}{225} \)
3. \( 10 + \frac{142}{225} = 10\frac{142}{225} \)
3. \( 47\frac{3}{14} + 1\frac{8}{21} \)
1. \( 47 + 1 + \frac{3}{14} + \frac{8}{21} \)
2. \( 48 + \frac{9}{42} + \frac{16}{42} \)
3. \( 48 + \frac{25}{42} = 48\frac{25}{42} \)
4. \( 54\frac{3}{4} + 18\frac{5}{6} \)
1. \( 54 + 18 + \frac{3}{4} + \frac{5}{6} \)
2. \( 72 + \frac{9}{12} + \frac{10}{12} \)
3. \( 72 + \frac{19}{12} = 72 + 1\frac{7}{12} = 73\frac{7}{12} \)
5. \( 28\frac{5}{9} + 13\frac{3}{4} \)
1. \( 28 + 13 + \frac{5}{9} + \frac{3}{4} \)
2. \( 41 + \frac{20}{36} + \frac{27}{36} \)
3. \( 41 + \frac{47}{36} = 41 + 1\frac{11}{36} = 42\frac{11}{36} \)
6. \( \frac{4}{7} + 2\frac{3}{5} \)
1. \( 2 + \frac{4}{7} + \frac{3}{5} \)
2. \( 2 + \frac{20}{35} + \frac{21}{35} \)
3. \( 2 + \frac{41}{35} = 2 + 1\frac{6}{35} = 3\frac{6}{35} \)

Ответ: 1. \(42\frac{1}{3}\); 2. \(10\frac{142}{225}\); 3. \(48\frac{25}{42}\); 4. \(73\frac{7}{12}\); 5. \(42\frac{11}{36}\); 6. \(3\frac{6}{35}\).