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Задача Задача №1581734
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Аноним
22 сентября 2024 14:42 · публичный вопрос
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Аноним

1,5-2/1,5^2:1,5-2/1,5^2+3*1,5

Нейросеть22 сентября 2024 14:42

To solve the expression \( \frac{1.5 - 2}{1.5^2} : \frac{1.5 - 2}{1.5^2} + 3 \times 1.5 \), we will break it down step by step.

  1. Calculate \( 1.5 - 2 \): \[ 1.5 - 2 = -0.5 \]

  2. Calculate \( 1.5^2 \): \[ 1.5^2 = 2.25 \]

  3. Calculate \( \frac{1.5 - 2}{1.5^2} \): \[ \frac{1.5 - 2}{1.5^2} = \frac{-0.5}{2.25} \approx -0.2222 \]

  4. Now substituting back into the expression: The expression simplifies to: \[ -0.2222 : -0.2222 + 3 \times 1.5 \]

  5. Calculating \( 3 \times 1.5 \): \[ 3 \times 1.5 = 4.5 \]

  6. Substituting back in: \[ -0.2222 : -0.2222 + 4.5 \]

  7. Since \( a : a = 1 \) for \( a \neq 0 \): \[ -0.2222 : -0.2222 = 1 \]

  8. Final Result: \[ 1 + 4.5 = 5.5 \]

Thus, the final result of the expression is: \[ \boxed{5.5} \]

1,5-2/1,5^2:1,5-2/1,5^2+3*1,5
To solve the expression \( \frac{1.5 - 2}{1.5^2} : \frac{1.5 - 2}{1.5^2} + 3 \times 1.5 \), we will break it down step by step. 1. **Calculate \( 1.5 - 2 \)**: \[ 1.5 - 2 = -0.5 \] 2. **Calculate \( 1.5^2 \)**: \[ 1.5^2 = 2.25 \] 3. **Calculate \( \frac{1.5 - 2}{1.5^2} \)**: \[ \frac{1.5 - 2}{1.5^2} = \frac{-0.5}{2.25} \approx -0.2222 \] 4. **Now substituting back into the expression**: The expression simplifies to: \[ -0.2222 : -0.2222 + 3 \times 1.5 \] 5. **Calculating \( 3 \times 1.5 \)**: \[ 3 \times 1.5 = 4.5 \] 6. **Substituting back in**: \[ -0.2222 : -0.2222 + 4.5 \] 7. **Since \( a : a = 1 \) for \( a \neq 0 \)**: \[ -0.2222 : -0.2222 = 1 \] 8. **Final Result**: \[ 1 + 4.5 = 5.5 \] Thus, the final result of the expression is: \[ \boxed{5.5} \]