Reaction of ketones with sodium amide


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> Find the product of the reaction of dimethyl ketone i.e. $\ce{CH3C(O)CH3}$ with $\ce{NaNH2}.$
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Should I do nucleophilic addition and form the product in the picture?


[![enter image description here](https://i.stack.imgur.com/6fH37.png)](https://i.stack.imgur.com/6fH37.png)


