вычитание обыкновенных дробей Вариант 2.2.3

Решение:

1. \( \frac{1}{2} - \frac{1}{5} = \frac{5}{10} - \frac{2}{10} = \frac{3}{10} \)
2. \( \frac{1}{3} - \frac{1}{6} = \frac{2}{6} - \frac{1}{6} = \frac{1}{6} \)
3. \( \frac{4}{9} - \frac{1}{6} = \frac{8}{18} - \frac{3}{18} = \frac{5}{18} \)
4. \( 14 - \frac{11}{12} = \frac{14 \cdot 12}{12} - \frac{11}{12} = \frac{168}{12} - \frac{11}{12} = \frac{157}{12} \)
5. \( 6 \frac{17}{23} - 5 = \left( 6 - 5 \right) + \frac{17}{23} = 1 + \frac{17}{23} = 1 \frac{17}{23} \)
6. \( 2 \frac{15}{24} - \frac{9}{24} = 2 + \frac{15}{24} - \frac{9}{24} = 2 + \frac{6}{24} = 2 + \frac{1}{4} = 2 \frac{1}{4} \)
7. \( \frac{5}{6} - \frac{7}{18} = \frac{15}{18} - \frac{7}{18} = \frac{8}{18} = \frac{4}{9} \)
8. \( 9 \frac{1}{6} - \frac{1}{3} = 9 + \frac{1}{6} - \frac{2}{6} = 9 - \frac{1}{6} = 8 + 1 - \frac{1}{6} = 8 + \frac{6}{6} - \frac{1}{6} = 8 \frac{5}{6} \)

Ответ: 1) \( \frac{3}{10} \); 2) \( \frac{1}{6} \); 3) \( \frac{5}{18} \); 4) \( \frac{157}{12} \); 5) \( 1 \frac{17}{23} \); 6) \( 2 \frac{1}{4} \); 7) \( \frac{4}{9} \); 8) \( 8 \frac{5}{6} \).