Question

7/11-(7 1/7+6/7*11 2/3):10/21=​

Answer 1

Ответ: 27,787

1 : 7 = 0,14

7 * 11 = 77

6 / 77 = 0,077

2 / 3 = 0,6

0,14 + 7 = 7,14

7,14 + 19,97 + 0,077 + 0,6 = 27,787

Answer 2

To simplify the expression, follow these steps:

1. Simplify the fractions within the parentheses.

7/11 - (7 1/7 + 6/7 * 11 2/3)

First, simplify the mixed numbers:

7 1/7 = (7 * 7 + 1) / 7 = (49 + 1) / 7 = 50/7

11 2/3 = (11 * 3 + 2) / 3 = (33 + 2) / 3 = 35/3

So the expression becomes:

7/11 - (50/7 + 6/7 * 35/3)

2. Continue simplifying within the parentheses.

7/11 - (50/7 + (6/7) * (35/3))

3. Perform the multiplication inside the parentheses:

7/11 - (50/7 + (6/7) * (35/3) = 7/11 - (50/7 + (210/21))

4. Combine the fractions within the parentheses:

7/11 - (50/7 + 210/21)

5. Find a common denominator for the fractions within the parentheses, which is 7:

7/11 - (50/7 + 30/7)

6. Add the fractions inside the parentheses:

7/11 - (80/7)

7. Now, subtract the second fraction from the first:

To subtract fractions, they need to have a common denominator. In this case, the common denominator is 77:

(7/11 * 7/7) - (80/7)

7/77 - 80/7

8. Continue simplifying:

7/77 - 80/7 = 1/11 - 80/7

9. Find a common denominator, which is 77:

(1/11 * 7/7) - (80/7 * 11/11)

7/77 - 880/77

10. Subtract the fractions:

(7 - 880)/77 = -873/77

So, the simplified result of the expression is:

-873/77 = -9/7