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Задача Задача №2500457
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15 декабря 2024 15:22 · публичный вопрос
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8:0,16-3 3/4*6,4

Нейросеть15 декабря 2024 15:22

To solve the expression \( 8:0,16 - 3 \frac{3}{4} \times 6,4 \), we first need to clarify the notation.

Assuming the following:

  • The colon ':' represents division.
  • Commas in numbers are used as decimal points (common in some cultures); thus, \( 0,16 \) = \( 0.16 \) and \( 6,4 \) = \( 6.4 \).
  • The mixed number \( 3 \frac{3}{4} \) can be converted into an improper fraction or a decimal.

Let's break this down step by step:

  1. Convert the mixed number \( 3 \frac{3}{4} \): \[ 3 \frac{3}{4} = 3 + \frac{3}{4} = \frac{12}{4} + \frac{3}{4} = \frac{15}{4} \]

  2. Calculate \( 8 : 0.16 \) (which is \( 8 / 0.16 \)): \[ 8 \div 0.16 = 8 \times \frac{100}{16} = 8 \times 6.25 = 50 \]

  3. Calculate \( \frac{15}{4} \times 6.4 \):

    • First convert \( 6.4 \) to a fraction: \( 6.4 = \frac{64}{10} = \frac{32}{5} \) \[ \frac{15}{4} \times \frac{32}{5} = \frac{15 \times 32}{4 \times 5} = \frac{480}{20} = 24 \]
  4. Putting it all together: \[ 50 - 24 = 26 \]

So, the final result is: \[ \boxed{26} \]

8:0,16-3 3/4*6,4
To solve the expression \( 8:0,16 - 3 \frac{3}{4} \times 6,4 \), we first need to clarify the notation. Assuming the following: - The colon ':' represents division. - Commas in numbers are used as decimal points (common in some cultures); thus, \( 0,16 \) = \( 0.16 \) and \( 6,4 \) = \( 6.4 \). - The mixed number \( 3 \frac{3}{4} \) can be converted into an improper fraction or a decimal. Let's break this down step by step: 1. **Convert the mixed number \( 3 \frac{3}{4} \)**: \[ 3 \frac{3}{4} = 3 + \frac{3}{4} = \frac{12}{4} + \frac{3}{4} = \frac{15}{4} \] 2. **Calculate \( 8 : 0.16 \)** (which is \( 8 / 0.16 \)): \[ 8 \div 0.16 = 8 \times \frac{100}{16} = 8 \times 6.25 = 50 \] 3. **Calculate \( \frac{15}{4} \times 6.4 \)**: - First convert \( 6.4 \) to a fraction: \( 6.4 = \frac{64}{10} = \frac{32}{5} \) \[ \frac{15}{4} \times \frac{32}{5} = \frac{15 \times 32}{4 \times 5} = \frac{480}{20} = 24 \] 4. **Putting it all together**: \[ 50 - 24 = 26 \] So, the final result is: \[ \boxed{26} \]