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Which one of the following is equivalent to $\cfrac{\cfrac{2}{w}+1}{4+\cfrac{5}{w}}(w\neq 0)$?

A

$\cfrac{2+w}{4w+5}$

B

$\cfrac{2+w}{4w}$

C

$\cfrac{4+w}{2}$

D

$\cfrac{2}{9}$

E

$10{w}^{2}+4$

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