Вопрос:

Вычислите: 6) 34/7 − 11/56; 7) 12/17 − 13/170; 8) 23/6 − 34/65; 9) 6/13 − 3/17; 10) 17/5 − 34/51.

Ответ:

  1. 6) \(\frac{34}{7}-\frac{11}{56}=\frac{272}{56}-\frac{11}{56}=\frac{261}{56}=4\frac{37}{56}\).
  2. 7) \(\frac{12}{17}-\frac{13}{170}=\frac{120}{170}-\frac{13}{170}=\frac{107}{170}\).
  3. 8) \(\frac{23}{6}-\frac{34}{65}=\frac{1495}{390}-\frac{204}{390}=\frac{1291}{390}=3\frac{121}{390}\).
  4. 9) \(\frac{6}{13}-\frac{3}{17}=\frac{102}{221}-\frac{39}{221}=\frac{63}{221}\).
  5. 10) \(\frac{17}{5}-\frac{34}{51}=\frac{867}{255}-\frac{170}{255}=\frac{697}{255}=2\frac{187}{255}\).

Ответ: 6) \(4\frac{37}{56}\); 7) \(\frac{107}{170}\); 8) \(3\frac{121}{390}\); 9) \(\frac{63}{221}\); 10) \(2\frac{187}{255}\).