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It is die Scheibe, der Käse, die Portion and der Salat. Why do they have different indefinite articles?

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    They don't. The correct inflection is "eine Portion", no matter what food you use it with. – Kilian Foth Aug 11 '17 at 6:28
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    Hm, I'm wondering if we should close the question because it's based on a mistake, or if we should answer this question with "you've made a mistake". – Em1 Aug 11 '17 at 6:38
  • At the moment, this is being closed as off-topic. Maybe if you can add your source it can be reopened/the closing prevented. – Jan Aug 11 '17 at 9:19
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Ein Portion Salat is simply incorrect; as you point out, Portion is feminine so the indefinite article must be eine.

The genus of the second noun — cheese and salad in your examples — is irrelevant, by the way. In this construction, the first noun carrying an article describes the quantity of the second noun; the latter never carries an article. Since the article belongs to the first noun, all three grammatical genders can follow without the article changing:

Ich nehme eine Scheibe Brot (neuter), eine Scheibe Käse (masculine) und eine Scheibe Wurst (feminine).

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