Question

Выполните действия 4/9(2,7m-2 1/4n)-4,2(5/7m-0,5n)Выполните действия 4/9(2,7m-2 1/4n)-4,2(5/7m-0,5n)

Answer 1

4/9·27/10m-4/9·9/4n-42/10·5/7m+42/10·5/10n=6/5m-n-6/2m+21/10n=6/5m-n-3m+21/10n=-1,8m-1,1n

Answer 2

Calculation of the Expression

To calculate the expression 4/9(2.7m - 2 + 1/4n) - 4.2(5/7m - 0.5n), we need to follow the order of operations (PEMDAS/BODMAS).

1. Simplify the expression within the parentheses first: - 2.7m - 2 + 1/4n and 5/7m - 0.5n.

2. Multiply the results by the respective fractions: - 4/9 and 4.2.

Let's calculate each step in detail:

Simplifying the Expression within Parentheses

For the expression 2.7m - 2 + 1/4n, we can combine like terms:

- 2.7m - 2 + 1/4n can be simplified to 2.7m - 2 + 0.25n.

Similarly, for the expression 5/7m - 0.5n, we can combine like terms:

- 5/7m - 0.5n remains the same.

Now, the expression becomes:

2.7m - 2 + 0.25n - 4.2(5/7m - 0.5n).

Multiplying by the Fractions

Next, we multiply the simplified expression by the respective fractions:

- Multiply the expression 2.7m - 2 + 0.25n by 4/9. - Multiply the expression 5/7m - 0.5n by 4.2.

Let's calculate each multiplication:

4/9(2.7m - 2 + 0.25n) - 4.2(5/7m - 0.5n)

= (4/9) * (2.7m - 2 + 0.25n) - (4.2) * (5/7m - 0.5n)

= (4/9) * (2.7m) - (4/9) * (2) + (4/9) * (0.25n) - (4.2) * (5/7m) + (4.2) * (0.5n)

= (4/9) * (2.7m) - (8/9) + (1/9) * (0.25n) - (21/5m) + (2.1n)

= (4/9) * (2.7m) - (8/9) + (0.25/9n) - (21/5m) + (2.1n)

= (1.2m/3) - (8/9) + (0.25n/9) - (21/5m) + (2.1n)

= 0.4m - (8/9) + (0.25n/9) - (21/5m) + (2.1n)

Therefore, the simplified expression is 0.4m - (8/9) + (0.25n/9) - (21/5m) + (2.1n).

Note: The above calculation is based on the given expression and the order of operations. Please double-check the expression and calculations to ensure accuracy.