Вопрос:

Задание № 11. Выполните деление: 1) 4 1/2 : 1/6; 2) 5/8 : 1 3/5; 3) 3/10 : 2 2/9; 4) 1 2/5 : 5/7; 5) 3 17/20 : 4/5; 6) 7/8 : 1 5/16.

Ответ:

  1. \(4\frac12:\frac16=\frac92\cdot6=27\).
  2. \(\frac58:1\frac35=\frac58:\frac85=\frac{25}{64}\).
  3. \(\frac3{10}:2\frac29=\frac3{10}:\frac{20}{9}=\frac{27}{200}\).
  4. \(1\frac25:\frac57=\frac75\cdot\frac75=\frac{49}{25}=1\frac{24}{25}\).
  5. \(3\frac{17}{20}:\frac45=\frac{77}{20}\cdot\frac54=\frac{77}{16}=4\frac{13}{16}\).
  6. \(\frac78:1\frac5{16}=\frac78:\frac{21}{16}=\frac23\).

Ответ: 1) 27; 2) 25/64; 3) 27/200; 4) 1 24/25; 5) 4 13/16; 6) 2/3.