Question

1 1/6*3 3/7 и 2 4/11:2 11/14 и 4 1/5:2 1/10*1 5/6​

Answer 1

Переводим смешанные дроби в неправильные:

1) $\frac{7}{6} * \frac{24}{7} = \frac{4}{1} = 4$

2) $\frac{26}{11} : \frac{39}{14} = \frac{26}{11} * \frac{14}{39} = \frac{28}{33}$

3) $\frac{21}{5} : \frac{21}{10} * \frac{11}{6} = 3,(6)$

1. $\frac{21}{5} * \frac{10}{21} = \frac{2}{1}$

2. $\frac{2}{1} * \frac{11}{6} = \frac{11}{3} = 3,(6)$

Ответ: 3,(6) или смешанная дробь $3\frac{2}{3}$.

И это не набор цифр и букв, а выражение, которое выполнено в непонятном виде, ибо так проще написать.

Answer 2

To calculate the given expression, let's take it step by step:

1. Convert mixed numbers into improper fractions: 1 1/6 = (6 * 1 + 1) / 6 = 7/6 2 4/11 = (11 * 2 + 4) / 11 = 26/11 4 1/5 = (5 * 4 + 1) / 5 = 21/5

2. Perform the operations within the parentheses first: 7/6 * 3 3/7 = 7/6 * (3 + 3/7) = 7/6 * (24/7 + 3/7) = 7/6 * 27/7 = (7 * 27) / (6 * 7) = 27/6

3. Perform the next set of operations within the parentheses: 26/11 : 2 11/14 = 26/11 : (2 + 11/14) = 26/11 : (28/14 + 11/14) = 26/11 : 39/14

4. Convert the division into multiplication by the reciprocal: 26/11 : 39/14 = 26/11 * 14/39

5. Perform the multiplication: 26/11 * 14/39 = (26 * 14) / (11 * 39) = 364 / 429

6. Convert the mixed number into an improper fraction: 2 1/10 = (10 * 2 + 1) / 10 = 21/10

7. Perform the last set of operations: 21/10 * 1 5/6 = 21/10 * (1 + 5/6) = 21/10 * (6/6 + 5/6) = 21/10 * 11/6

8. Convert the multiplication into a fraction: 21/10 * 11/6 = (21 * 11) / (10 * 6) = 231 / 60 = 77 / 20

Now, let's put it all together:

1 1/6 * 3 3/7 = 27/6 2 4/11 : 2 11/14 = 364/429 4 1/5 : 2 1/10 * 1 5/6 = 77/20

Therefore, the final expression is: 27/6, 364/429, 77/20.