Вопрос от Анонимного юзера 12 ноября 2025 15:23

Question 1

14,1-2 2/3 •(1 33/46+1,25+1 15/16:7,75)+ 4 1/15

Answer

Here's the expression parsed and evaluated step by step (using European notation, where , is decimal comma and mixed numbers are standard):

First factor: 14,1 − 2 2/3

2 2/3 = 8/3
14,1 = 141/10
141/10 − 8/3 = (423 − 80)/30 = 343/30

So, A = 343/30.

Inside the parentheses: 1 33/46 + 1,25 + (1 15/16) : 7,75

1 33/46 = 79/46
1,25 = 5/4
1 15/16 = 31/16
7,75 = 31/4
(31/16) : (31/4) = (31/16) × (4/31) = 1/4
B = 79/46 + 5/4 + 1/4 = 79/46 + 3/2 = 148/46 = 74/23

Product A · B

(343/30) · (74/23) = 12,691/345 (already simplified)

Last term: 4 1/15 = 61/15
Sum: (12,691/345) + (61/15)

61/15 = 1,403/345
Sum = (12,691 + 1,403) / 345 = 14,094/345
Simplify by gcd 3 → 4,698/115

Final result:

Exact: 4698/115
Mixed: 40 98/115
Decimal (approx.): 40,85217

If you’d like, I can show alternate forms or verify with a calculator.

Question 2

14,1-2 2/3 •(1 33/46+1,25+1 15/16:7,75)+ 4 1/15

Answer

Here's the expression parsed and evaluated step by step (using European notation, where , is decimal comma and mixed numbers are standard): 1) First factor: 14,1 − 2 2/3 - 2 2/3 = 8/3 - 14,1 = 141/10 - 141/10 − 8/3 = (423 − 80)/30 = 343/30 So, A = 343/30. 2) Inside the parentheses: 1 33/46 + 1,25 + (1 15/16) : 7,75 - 1 33/46 = 79/46 - 1,25 = 5/4 - 1 15/16 = 31/16 - 7,75 = 31/4 - (31/16) : (31/4) = (31/16) × (4/31) = 1/4 - B = 79/46 + 5/4 + 1/4 = 79/46 + 3/2 = 148/46 = 74/23 3) Product A · B - (343/30) · (74/23) = 12,691/345 (already simplified) 4) Last term: 4 1/15 = 61/15 5) Sum: (12,691/345) + (61/15) - 61/15 = 1,403/345 - Sum = (12,691 + 1,403) / 345 = 14,094/345 - Simplify by gcd 3 → 4,698/115 Final result: - Exact: 4698/115 - Mixed: 40 98/115 - Decimal (approx.): 40,85217 If you’d like, I can show alternate forms or verify with a calculator.

14,1-2 2/3 •(1 33/46+1,25+1 15/16:7,75)+ 4 1/15

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