1058 1) (28 : \( \frac{1}{4} \) + 7 : \( \frac{3}{4} \) - 9 : \( \frac{3}{4} \)) : (22 + 1 \( \frac{2}{9} \) - 1 \( \frac{3}{7} \)); 2) (\( \frac{1}{2} \) - 0,375) : 0,125 + (\( \frac{5}{6} \) - \( \frac{7}{12} \)) : (0,358 - 0,108).

Решение:

1) (28 : \( \frac{1}{4} \) + 7 : \( \frac{3}{4} \) - 9 : \( \frac{3}{4} \)) : (22 + 1 \( \frac{2}{9} \) - 1 \( \frac{3}{7} \))

1. \( 28 : \frac{1}{4} = 28 · 4 = 112 \)
2. \( 7 : \frac{3}{4} = 7 · \frac{4}{3} = \frac{28}{3} \)
3. \( 9 : \frac{3}{4} = 9 · \frac{4}{3} = 12 \)
4. \( 112 + \frac{28}{3} - 12 = 100 + \frac{28}{3} = \frac{300 + 28}{3} = \frac{328}{3} \)
5. \( 22 + 1 \frac{2}{9} - 1 \frac{3}{7} = 22 + \frac{11}{9} - \frac{10}{7} = 22 + \frac{77 - 90}{63} = 22 - \frac{13}{63} = \frac{22 · 63 - 13}{63} = \frac{1386 - 13}{63} = \frac{1373}{63} \)
6. \( \frac{328}{3} : \frac{1373}{63} = \frac{328}{3} · \frac{63}{1373} = 328 · \frac{21}{1373} = \frac{6888}{1373} \)

2) (\( \frac{1}{2} \) - 0,375) : 0,125 + (\( \frac{5}{6} \) - \( \frac{7}{12} \)) : (0,358 - 0,108)

1. \( \frac{1}{2} - 0.375 = 0.5 - 0.375 = 0.125 \)
2. \( 0.125 : 0.125 = 1 \)
3. \( \frac{5}{6} - \frac{7}{12} = \frac{10 - 7}{12} = \frac{3}{12} = \frac{1}{4} \)
4. \( 0.358 - 0.108 = 0.25 \)
5. \( \frac{1}{4} : 0.25 = 0.25 : 0.25 = 1 \)
6. \( 1 + 1 = 2 \)

Ответ: 1) \( \frac{6888}{1373} \); 2) 2