Вопрос:

Решите уравнения: 1) \(\frac{6}{32}+x=\frac{25}{32}\); 2) \(x+\frac{13}{40}=\frac{37}{40}\); 3) \(x-\frac{26}{51}=\frac{19}{51}\); 4) \(\frac{64}{75}-x=\frac{53}{75}\); 5) \(\frac{74}{131}+x=\frac{120}{131}\); 6) \(x+\frac{105}{147}=\frac{145}{147}\); 7) \(\frac{56}{81}+\frac{x}{81}=\frac{79}{81}\); 8) \(\frac{x}{67}+\frac{29}{67}=\frac{64}{67}\); 9) \(\frac{73}{90}-\frac{x}{90}=\frac{41}{90}\); 10) \(\frac{x}{48}-\frac{17}{48}=\frac{29}{48}\).

Ответ:

  1. \(x=\frac{25-6}{32}=\frac{19}{32}\).
  2. \(x=\frac{37-13}{40}=\frac{24}{40}=\frac35\).
  3. \(x=\frac{19+26}{51}=\frac{45}{51}=\frac{15}{17}\).
  4. \(x=\frac{64-53}{75}=\frac{11}{75}\).
  5. \(x=\frac{120-74}{131}=\frac{46}{131}\).
  6. \(x=\frac{145-105}{147}=\frac{40}{147}\).
  7. \(x=79-56=23\).
  8. \(x=64-29=35\).
  9. \(x=73-41=32\).
  10. \(x=29+17=46\).

Ответ: 1) \(\frac{19}{32}\); 2) \(\frac35\); 3) \(\frac{15}{17}\); 4) \(\frac{11}{75}\); 5) \(\frac{46}{131}\); 6) \(\frac{40}{147}\); 7) \(23\); 8) \(35\); 9) \(32\); 10) \(46\).