Quotient of ring $\mathbb Z/9\mathbb Z$

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Just wanted to obtain quick clarification on this question: is $(\mathbb Z/9\mathbb Z)/(3\mathbb Z/9\mathbb Z) \cong \mathbb Z/3\mathbb Z$?

And would it be correct to call $3\mathbb Z/9\mathbb Z$ an ideal of $\mathbb Z/9\mathbb Z$?