Simplify $13 \frac{1}{5} \div 13 \frac{1}{3}$

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Solution

$13 \frac{1}{5} \div 13 \frac{1}{3} = \frac{13 \times 5 + 1}{5} \div \frac{13 \times 3 + 1}{3} = \frac{66}{5} \div \frac{40}{3} = \frac{66}{5} \times \frac{3}{40} = \frac{198}{200}$

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