To multiply -1 by \( \frac{1}{6} \div 7 \), we first need to handle the division.
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Calculate \( \frac{1}{6} \div 7 \): \[ \frac{1}{6} \div 7 = \frac{1}{6} \times \frac{1}{7} = \frac{1 \times 1}{6 \times 7} = \frac{1}{42} \]
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Now multiply -1 by \( \frac{1}{42} \): \[ -1 \times \frac{1}{42} = -\frac{1}{42} \]
The final answer is \(-\frac{1}{42}\).
As a mixed number, this is simply \(-\frac{1}{42}\) since it is already a proper fraction and cannot be written as a mixed number. If mixed numbers are required, it can be represented as \( -0 \frac{1}{42} \), but it's typically just expressed as \(-\frac{1}{42}\).