47. Вычислите: 1) 2/3 + 5/8 2) 7/12 - 3/8 3) 11/16 - 5/8 4) 6/35 + 3/10 5) 8/15 - 4/9 6) 4/15 + 7/12 7) 11/48 - 5/36 8) 4/5 - 2/3 + 4/15 9) 7/8 + 11/12 - 5/6

Решение:

• 1) \( \frac{2}{3} + \frac{5}{8} = \frac{16 + 15}{24} = \frac{31}{24} \)
• 2) \( \frac{7}{12} - \frac{3}{8} = \frac{14 - 9}{24} = \frac{5}{24} \)
• 3) \( \frac{11}{16} - \frac{5}{8} = \frac{11 - 10}{16} = \frac{1}{16} \)
• 4) \( \frac{6}{35} + \frac{3}{10} = \frac{12 + 21}{70} = \frac{33}{70} \)
• 5) \( \frac{8}{15} - \frac{4}{9} = \frac{24 - 20}{45} = \frac{4}{45} \)
• 6) \( \frac{4}{15} + \frac{7}{12} = \frac{16 + 35}{60} = \frac{51}{60} = \frac{17}{20} \)
• 7) \( \frac{11}{48} - \frac{5}{36} = \frac{33 - 20}{144} = \frac{13}{144} \)
• 8) \( \frac{4}{5} - \frac{2}{3} + \frac{4}{15} = \frac{12 - 10 + 4}{15} = \frac{6}{15} = \frac{2}{5} \)
• 9) \( \frac{7}{8} + \frac{11}{12} - \frac{5}{6} = \frac{21 + 22 - 20}{24} = \frac{23}{24} \)

Ответ:

• 1) \( \frac{31}{24} \)
• 2) \( \frac{5}{24} \)
• 3) \( \frac{1}{16} \)
• 4) \( \frac{33}{70} \)
• 5) \( \frac{4}{45} \)
• 6) \( \frac{17}{20} \)
• 7) \( \frac{13}{144} \)
• 8) \( \frac{2}{5} \)
• 9) \( \frac{23}{24} \)