5.359 Выполните действие и сократите дробную часть полученного ра

Решение:

1. \( \frac{14}{18} - \frac{5}{18} = \frac{14-5}{18} = \frac{9}{18} = \frac{9 \div 9}{18 \div 9} = \frac{1}{2} \)
2. \( \frac{5}{22} + \frac{6}{22} = \frac{5+6}{22} = \frac{11}{22} = \frac{11 \div 11}{22 \div 11} = \frac{1}{2} \)
3. \( 6 \frac{7}{12} - 1 \frac{3}{12} = \frac{79}{12} - \frac{15}{12} = \frac{79-15}{12} = \frac{64}{12} = \frac{64 \div 4}{12 \div 4} = \frac{16}{3} = 5 \frac{1}{3} \)
4. \( 7 \frac{5}{27} + 3 \frac{1}{27} = \frac{194}{27} + \frac{82}{27} = \frac{194+82}{27} = \frac{276}{27} = \frac{276 \div 3}{27 \div 3} = \frac{92}{9} = 10 \frac{2}{9} \)

Ответ: а) \( \frac{1}{2} \); б) \( \frac{1}{2} \); в) \( 5 \frac{1}{3} \); г) \( 10 \frac{2}{9} \).