Новая Школа - онлайн-школа подготовки к ЕГЭ
Задача Задача №3501455
А
Аноним
12 ноября 2025 15:23 · публичный вопрос
А
Аноним

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

Ответ нейросети
12 ноября 2025 15:23

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.

  1. 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
  1. Product A · B
  • (343/30) · (74/23) = 12,691/345 (already simplified)
  1. Last term: 4 1/15 = 61/15

  2. 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.