Вопрос:

Вычислите (задание 6): 1) \(\frac{1}{5}-\frac{41}{50}\); 2) \(\frac{21}{5}\cdot\frac{3}{7}\); 3) \(\frac{14}{5}:\frac{7}{2}\); 4) \(\frac{1}{4}-\frac{51}{20}\); 5) \(\frac{1}{10}+\frac{29}{20}\); 6) \(\frac{7}{6}\cdot\frac{9}{5}\).

Ответ:

  1. \(\frac15-\frac{41}{50}=\frac{10}{50}-\frac{41}{50}=-\frac{31}{50}\).
  2. \(\frac{21}{5}\cdot\frac37=\frac{63}{35}=\frac95\).
  3. \(\frac{14}{5}:\frac72=\frac{14}{5}\cdot\frac27=\frac45\).
  4. \(\frac14-\frac{51}{20}=\frac5{20}-\frac{51}{20}=-\frac{46}{20}=-\frac{23}{10}\).
  5. \(\frac1{10}+\frac{29}{20}=\frac2{20}+\frac{29}{20}=\frac{31}{20}\).
  6. \(\frac76\cdot\frac95=\frac{63}{30}=\frac{21}{10}\).

Ответ: 1) \(-\frac{31}{50}\); 2) \(\frac95\); 3) \(\frac45\); 4) \(-\frac{23}{10}\); 5) \(\frac{31}{20}\); 6) \(\frac{21}{10}\).