Answer
$\frac{6}{7}$
Work Step by Step
$\frac{1}{2} \div \frac{7}{12} = \frac{1}{2} \times \frac{12}{7} = \frac{1 * 12}{2 * 7} = \frac{2 * 2 * 3}{2 * 7} = \frac{2 * 3}{7} * \frac{2}{2} = \frac{6}{7}$
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