To solve the expression \((-3) \div (34) \times (27) \times (-516) \div (57)\), we can use the properties of operations. Here's a step-by-step breakdown:
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Rewrite the Expression: \[ (-3) \div 34 \times 27 \times (-516) \div 57 \]
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Group the Multiplications and Divisions: \[ = \left((-3) \div 34 \times (-516)\right) \div 57 \times 27 \]
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Handle Division First: Calculate \((-3) \div 34\): \[ = -\frac{3}{34} \] Now we have: \[ -\frac{3}{34} \times 27 \times (-516) \div 57 \]
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Calculate \(-3/34 \times 27\): \[ -\frac{3 \times 27}{34} = -\frac{81}{34} \]
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Next, Multiply by -516: \[ -\frac{81}{34} \times (-516) = \frac{81 \times 516}{34} \]
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Calculate \(81 \times 516\): \[ = 41796 \] Now, we need to divide by \(34\): \[ \frac{41796}{34} \]
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Divide: \[ 41796 \div 34 = 1235.176 \]
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Divide by 57: \[ \frac{1235.176}{57} \] \[ = 21.68 \]
Therefore, the final result of the expression \((-3) \div (34) \times (27) \times (-516) \div (57)\) is approximately 21.68.