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Simplify hairy fractions

Wilson tried to evaluate an expression step by step.
 3โˆ’2 9โˆ’4=9โˆ’4รท3โˆ’2Step 1=9โˆ’4โ‹…โˆ’23Step 2=โ€…โ€…โ€…32Step 3\qquad\begin{aligned} &\Large\dfrac{ ~\frac{3}{-2}~ }{ \frac{9}{-4}} \\\\ \\ =&\dfrac{9}{-4}\div \dfrac{3}{-2}&\green{\text{Step } 1}\\\\ \\ =&\dfrac{9}{-4}\cdot \dfrac{-2}{3}&\blue{\text{Step } 2}\\\\ \\ =&\:\:\:\dfrac{3}{2}&\purple{\text{Step } 3} \\\\ \end{aligned}
Find Wilson's mistake.
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Choose 1 answer: