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Simplify the following expression:$$\frac{3\frac{1}{2} + 5\frac{1}{3} \div 1\frac{1}{3} \times 5\frac{1}{4} - 5\frac{1}{2}}{1\frac{1}{2} \times 1\frac{2}{3} - 6\frac{1}{2}}$$
$$\frac{13}{147}$$
$$29\frac{9}{32}$$
$$-1\frac{5}{14}$$
$$-\frac{5}{28}$$
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