2. Решите уравнения: а) 26 11/101 − x = 23 16/101; б) (23 15/16 + x) − 4 4/16 = 28 11/16; а) x + 25 13/102 = 29 7/102; б) 20 1/19 − (x − 4 17/19) = 9 18/19.

Решение:

1. \(26\frac{11}{101}-x=23\frac{16}{101}\).
   \(x=26\frac{11}{101}-23\frac{16}{101}=\frac{2637-2339}{101}=\frac{298}{101}=2\frac{96}{101}\).
2. \(\left(23\frac{15}{16}+x\right)-4\frac{4}{16}=28\frac{11}{16}\).
   \(23\frac{15}{16}+x=28\frac{11}{16}+4\frac{4}{16}\).
   \(x=28\frac{11}{16}+4\frac{4}{16}-23\frac{15}{16}=\frac{459+68-383}{16}=9\).
3. \(x+25\frac{13}{102}=29\frac{7}{102}\).
   \(x=29\frac{7}{102}-25\frac{13}{102}=\frac{2965-2563}{102}=\frac{67}{17}=3\frac{16}{17}\).
4. \(20\frac{1}{19}-\left(x-4\frac{17}{19}\right)=9\frac{18}{19}\).
   \(x=20\frac{1}{19}-9\frac{18}{19}+4\frac{17}{19}=\frac{381-189+93}{19}=15\).

Ответ: а) \(x=2\frac{96}{101}\); б) \(x=9\); а) \(x=3\frac{16}{17}\); б) \(x=15\).