# Duplicating the operators?

Algebra Level 3

Given that $$\dfrac ab \times \dfrac cd = \dfrac {a\times c}{b\times d}$$. Is it also true that $$\dfrac ab \div \dfrac cd = \dfrac {a\div c}{b\div d}$$?

Clarification: None of $$a,b,c,d$$ are equal to 0.

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