Question

(7/12+3/4):8/27-(3 2/5 - 2)* 25/28= ПО ДЕЙСТВИЯ ПЛИИЗ И РЕШЕНИ ТОЖ

Answer 1

Решение:
1) 7/12 + 3/4= 7/12 + 9/12= 16/12= 4/3= 1 1/3
2) 3 2/5 - 2= 1 2/5
3) 4/3: 8/7= 4/3*7/8= 7/6= 1 1/6
4) 1 2/5 * 25/28= 7/5 * 25/28= 5/4= 1 1/4 (1,25)
5) 1 1/6 - 1 1/4=  1 2/12 - 1 3/12= - 1/12
Если я что-то упустила, напиши, я перерешаю. 

Answer 2

To solve the given expression, let's break it down step by step:

Step 1: Simplify the expression within the parentheses

The expression within the parentheses is: (7/12 + 3/4) : 8/27 - (3 + 2/5 - 2) * 25/28.

Let's simplify it:

7/12 + 3/4 = (7/12 * 1/1) + (3/4 * 3/3) = 7/12 + 9/12 = 16/12 = 4/3.

Now the expression becomes: (4/3) : 8/27 - (3 + 2/5 - 2) * 25/28.

Step 2: Simplify the expression within the second set of parentheses

The expression within the second set of parentheses is: 3 + 2/5 - 2.

Let's simplify it:

3 + 2/5 - 2 = (3 * 5/5) + (2/5) - (2 * 5/5) = 15/5 + 2/5 - 10/5 = 17/5 - 10/5 = 7/5.

Now the expression becomes: (4/3) : 8/27 - (7/5) * 25/28.

Step 3: Perform the division and multiplication operations

Now we have: (4/3) : 8/27 - (7/5) * 25/28.

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. So, (4/3) : 8/27 is the same as (4/3) * (27/8).

Let's calculate it:

(4/3) * (27/8) = (4 * 27) / (3 * 8) = 108/24 = 9/2.

Now the expression becomes: 9/2 - (7/5) * 25/28.

To multiply fractions, we multiply the numerators together and the denominators together. So, (7/5) * 25/28 is (7 * 25) / (5 * 28).

Let's calculate it:

(7/5) * (25/28) = (7 * 25) / (5 * 28) = 175/140 = 5/4.

Now the expression becomes: 9/2 - 5/4.

Step 4: Perform the subtraction operation

To subtract fractions, we need a common denominator. The common denominator for 2 and 4 is 4.

Let's calculate it:

(9/2) - (5/4) = (9 * 2) / (2 * 2) - (5 * 1) / (4 * 1) = 18/4 - 5/4 = 13/4.

Therefore, the solution to the given expression (7/12 + 3/4) : 8/27 - (3 + 2/5 - 2) * 25/28 is 13/4.

Please let me know if you have any further questions!