Je snijdt de taart aan en verdeelt hem in achtsten, of niet?

From Lesson 430:Complex fractions·Dutch

Questions & Answers about Je snijdt de taart aan en verdeelt hem in achtsten, of niet?

How exactly is the plural fraction achtsten formed here?
It starts with the cardinal number acht (eight). To turn it into a fraction, you add the ordinal suffix -ste, giving you achtste (an eighth). Because the sentence talks about multiple pieces, it needs to be pluralized. Fractions ending in -e simply take an -n for the plural, resulting in achtsten.
Why use the separable verb aansnijden instead of just snijden?
While snijden just means to cut, aansnijden specifically means making the very first cut into a whole item, like a cake, a loaf of bread, or a roast. It implies you are cutting it to start serving it.
Why is the cake referred to as hem (him) instead of het (it)?
Because taart is a de-word. In Dutch, we typically refer back to de-words using masculine pronouns like hij (he) for subjects and hem (him) for objects, rather than the neuter pronoun het.
Is of niet the only way to translate the tag question don't you?
It is one of the most common and flexible ways. Unlike English, which changes the tag question based on the verb and tense (don't you, aren't they, hasn't she), Dutch simply uses of niet (literally: or not), , or toch at the end of the sentence to ask for confirmation.

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