LON-CAPA complex fraction

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Simplify the following fraction as far as possible.

$\frac{\frac{1}{2} + \frac{2}{3}}{\frac{3}{2} + 2} \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad$

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