Решите уравнения: 1. x+2\(\frac{7}{16}\)=5\(\frac{3}{16}\) 2. 12\(\frac{1}{4}\)-x=6\(\frac{3}{4}\) 3. x-7\(\frac{8}{11}\)=2\(\frac{5}{11}\) 4. x+3\(\frac{5}{12}\)=8 5. 6\(\frac{3}{15}\)-x=3\(\frac{6}{15}\)

Решение:

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

Ответ: 1. \( 2\frac{3}{4} \); 2. \( 5\frac{1}{2} \); 3. \( 10\frac{2}{11} \); 4. \( 4\frac{7}{12} \); 5. \( 2\frac{4}{5} \).