Задача Задача №3501455
А
А
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.