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Задача Задача №2675314
А
Аноним
24 января 2025 06:24 · публичный вопрос
А
Аноним

2,34:0,39*(10,7-2,3):((8,9-5,7)*(2,11+1,04))

Ответ нейросети
24 января 2025 06:24

To solve the expression step-by-step, let's break it down while keeping track of the order of operations (parentheses, exponents, multiplication and division, addition and subtraction).

The expression is: \[ 2.34 : 0.39 \times (10.7 - 2.3) : ((8.9 - 5.7) \times (2.11 + 1.04)) \]

  1. Start by evaluating the expressions inside the parentheses:

    • \( 10.7 - 2.3 = 8.4 \)
    • \( 8.9 - 5.7 = 3.2 \)
    • \( 2.11 + 1.04 = 3.15 \)
  2. Now substitute back into the expression: \[ 2.34 : 0.39 \times 8.4 : (3.2 \times 3.15) \]

  3. Now calculate \( 3.2 \times 3.15 \): \[ 3.2 \times 3.15 = 10.08 \]

  4. Substitute this back into the expression: \[ 2.34 : 0.39 \times 8.4 : 10.08 \]

  5. Now we have: \[ 2.34 : 0.39 \times 8.4 : 10.08 \]

  6. Let's compute \( 2.34 : 0.39 \): \[ 2.34 / 0.39 \approx 6 \]

  7. Substitute this into the expression: \[ 6 \times 8.4 : 10.08 \]

  8. Next, compute \( 6 \times 8.4 \): \[ 6 \times 8.4 = 50.4 \]

  9. Substitute this back: \[ 50.4 : 10.08 \]

  10. Finally, compute \( 50.4 : 10.08 \): \[ 50.4 / 10.08 \approx 5 \]

Therefore, the result of the expression is: \[ 5 \]