Question

7 целых 2/3+4 целых 1/6*(6 целых 2/7 - 3 целых 5/7 срочно! по действиям!

Answer 1

6ц.2/7-3ц.5/7=-0.428
7 ц. 2/3+4ц. 1/6=5.333
-0.428*5.333=-2.828

Answer 2

Calculating the Expression

To solve the given expression 7 whole 2/3 + 4 whole 1/6 * (6 whole 2/7 - 3 whole 5/7), we can follow the order of operations (PEMDAS: Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).

First, let's simplify the expression within the parentheses:

6 whole 2/7 - 3 whole 5/7

This simplifies to:

6 whole 2/7 - 3 whole 5/7 = 6 + 2/7 - 3 - 5/7

Now, we can calculate the result:

6 + 2/7 - 3 - 5/7 = (6 - 3) + (2/7 - 5/7) = 3 - 3/7

So, the expression within the parentheses simplifies to 3 - 3/7.

Now, we can substitute this back into the original expression:

7 whole 2/3 + 4 whole 1/6 * (3 - 3/7)

Next, we can calculate the multiplication:

4 whole 1/6 * (3 - 3/7) = 4 whole 1/6 * 3 - 4 whole 1/6 * 3/7

Now, we can calculate the result:

4 whole 1/6 * 3 = 4 + 1/6 * 3 = 4 + 1/2 = 4 whole 1/2

And,

4 whole 1/6 * 3/7 = 4 + 1/6 * 3/7 = 4 + 1/14 = 4 whole 1/14

So, the expression simplifies to:

7 whole 2/3 + 4 whole 1/2 - 4 whole 1/14

Finally, we can add the whole numbers and fractions separately:

7 whole 2/3 + 4 whole 1/2 - 4 whole 1/14 = 7 + 4 - 4 + 2/3 + 1/2 - 1/14

Now, we can calculate the result:

7 + 4 - 4 = 7

And,

2/3 + 1/2 - 1/14 = 28/42 + 21/42 - 3/42 = 46/42 = 23/21

So, the final result of the expression is 7 whole 23/21.

Conclusion

The result of the given expression 7 whole 2/3 + 4 whole 1/6 * (6 whole 2/7 - 3 whole 5/7) is 7 whole 23/21.