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\(\frac{12}{15}:\frac{4}{45}=\frac{12}{15}*\frac{45}{4}=\frac{3}{1}*\frac{3}{1}=3*3=9\)

 

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\(\frac{12}{15}\div \frac{4}{45}\\ = \frac{\not4}{\not5}\times \frac{\not{45}^{\;9}}{\not4\;}\)

= 9.

Same as Omi67's answer.