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Simplify hairy fractions

Peyton tried to evaluate an expression step by step.
 ab โˆ’cd=abรทโˆ’cdStep 1=baโ‹…โˆ’cdStep 2=โ€…โ€…โ€…โˆ’bcadStep 3\qquad\begin{aligned} &\Large\dfrac{ ~\frac{a}{b}~ }{ \frac{-c}{d}} \\\\ \\ =&\dfrac{a}{b}\div \dfrac{-c}{d}&\green{\text{Step } 1}\\\\ \\ =&\dfrac{b}{a}\cdot \dfrac{-c}{d}&\blue{\text{Step } 2}\\\\ \\ =&\:\:\:-\dfrac{bc}{ad}&\purple{\text{Step } 3} \\\\ \end{aligned}
Find Peyton's mistake.
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Choose 1 answer: