Решите уравнения: 1. x + 2 7/16 = 5 3/16 2. 12 1/4 - x = 6 3/4 3. x - 7 8/11 = 2 5/11 4. x + 3 5/12 = 8 5. 6 3/15 - x = 3 6/15 6. (x + 28/31) - 14/31 = 16/31 7. 5 7/18 - (x - 2 5/18) = 1 11/18 8. 3 7/17 - (x + 1 4/17) = 1 9/17 9. 4 5/14 - (x - 7 3/14) = 2 9/14

Решение:

1. \( x + 2 \frac{7}{16} = 5 \frac{3}{16} \)
   \( x = 5 \frac{3}{16} - 2 \frac{7}{16} = 4 \frac{19}{16} - 2 \frac{7}{16} = 2 \frac{12}{16} = 2 \frac{3}{4} \)
2. \( 12 \frac{1}{4} - x = 6 \frac{3}{4} \)
   \( x = 12 \frac{1}{4} - 6 \frac{3}{4} = 11 \frac{5}{4} - 6 \frac{3}{4} = 5 \frac{2}{4} = 5 \frac{1}{2} \)
3. \( x - 7 \frac{8}{11} = 2 \frac{5}{11} \)
   \( x = 2 \frac{5}{11} + 7 \frac{8}{11} = 9 \frac{13}{11} = 10 \frac{2}{11} \)
4. \( x + 3 \frac{5}{12} = 8 \)
   \( x = 8 - 3 \frac{5}{12} = 7 \frac{12}{12} - 3 \frac{5}{12} = 4 \frac{7}{12} \)
5. \( 6 \frac{3}{15} - x = 3 \frac{6}{15} \)
   \( x = 6 \frac{3}{15} - 3 \frac{6}{15} = 5 \frac{18}{15} - 3 \frac{6}{15} = 2 \frac{12}{15} = 2 \frac{4}{5} \)
6. \( (x + \frac{28}{31}) - \frac{14}{31} = \frac{16}{31} \)
   \( x + \frac{28-14}{31} = \frac{16}{31} \)
   \( x + \frac{14}{31} = \frac{16}{31} \)
   \( x = \frac{16}{31} - \frac{14}{31} = \frac{2}{31} \)
7. \( 5 \frac{7}{18} - (x - 2 \frac{5}{18}) = 1 \frac{11}{18} \)
   \( 5 \frac{7}{18} - x + 2 \frac{5}{18} = 1 \frac{11}{18} \)
   \( 7 \frac{12}{18} - x = 1 \frac{11}{18} \)
   \( x = 7 \frac{12}{18} - 1 \frac{11}{18} = 6 \frac{1}{18} \)
8. \( 3 \frac{7}{17} - (x + 1 \frac{4}{17}) = 1 \frac{9}{17} \)
   \( 3 \frac{7}{17} - x - 1 \frac{4}{17} = 1 \frac{9}{17} \)
   \( 2 \frac{3}{17} - x = 1 \frac{9}{17} \)
   \( x = 2 \frac{3}{17} - 1 \frac{9}{17} = 1 \frac{20}{17} - 1 \frac{9}{17} = 1 \frac{11}{17} \)
9. \( 4 \frac{5}{14} - (x - 7 \frac{3}{14}) = 2 \frac{9}{14} \)
   \( 4 \frac{5}{14} - x + 7 \frac{3}{14} = 2 \frac{9}{14} \)
   \( 11 \frac{8}{14} - x = 2 \frac{9}{14} \)
   \( x = 11 \frac{8}{14} - 2 \frac{9}{14} = 10 \frac{22}{14} - 2 \frac{9}{14} = 8 \frac{13}{14} \)

Ответ: 1. 2 3/4; 2. 5 1/2; 3. 10 2/11; 4. 4 7/12; 5. 2 4/5; 6. 2/31; 7. 6 1/18; 8. 1 11/17; 9. 8 13/14.