Hun hænger sengetøjet på tørrestativet efter vask.

Hænger is the present tense of at hænge.

In Danish, the simple present often covers both meanings that English splits into:

• She hangs the bed linen ...
• She is hanging the bed linen ...

So Hun hænger sengetøjet på tørrestativet efter vask can describe either:

• a habitual action, or
• something happening now,

depending on context.

Because Danish forms compound nouns very freely, and they are normally written as one word.

Here:

• seng = bed
• tøj = cloth/clothes

Together, sengetøj means bed linen / bedding.

This is very typical Danish. Where English often uses two words, Danish often joins them:

• soveværelse = bedroom
• vaskemaskine = washing machine
• tørrestativ = drying rack

The -et is the definite ending, meaning the.

So:

• et sengetøj = a bed linen set / bed linen
• sengetøjet = the bed linen

Danish usually puts definiteness at the end of the noun instead of using a separate word like English the.

So sengetøjet literally corresponds to the bed linen.

For the same two reasons:

1. It is a compound noun:

   • tørre = dry
   • stativ = stand/rack
     Together: tørrestativ = drying rack

2. It has the definite ending:

   • et tørrestativ = a drying rack
   • tørrestativet = the drying rack

So Danish is doing two things at once here:

• joining the noun into one word
• marking the with a suffix

Because the sentence is talking about specific things, not just any bed linen or any drying rack.

• sengetøjet = the bed linen being discussed
• tørrestativet = the drying rack being used

This is very natural in Danish when the listener is expected to understand which items are meant from the situation or context.

På means on here.

It is used because the bed linen is being placed on/over the drying rack, not inside it.

So:

• på tørrestativet = on the drying rack

Using i would suggest inside something, which does not fit a drying rack very well.

This is also idiomatic Danish: laundry is commonly hung på a rack, line, hook, wall, etc.

Danish often uses a bare noun where English uses an -ing form.

So:

• efter vask literally looks like after wash
• but in natural English it means after washing or after the wash

This is a very common pattern in Danish.

Other examples:

• efter arbejde = after work
• under mødet = during the meeting
• før afrejse = before departure

So vask here refers to the washing process/event in a compact, natural Danish way.

Because efter vask is a more general, idiomatic way to say after washing / after the wash.

• efter vask = after washing, after wash in general
• efter vasken = after the specific wash

So efter vasken is possible, but it sounds more specific and a bit heavier.
In a general statement like this, efter vask is the more natural choice.

Yes, it is completely normal.

The sentence structure is:

• Hun = subject
• hænger = verb
• sengetøjet = object
• på tørrestativet = place
• efter vask = time/circumstance

Danish main clauses follow the V2 rule, which means the finite verb comes in the second position.

Here the subject is first, so the verb comes right after it:

• Hun hænger ...

You could also move another element to the front:

• Efter vask hænger hun sengetøjet på tørrestativet.

Notice that hænger still stays in second position.

Yes. That is also very natural.

The particle op often appears with hænge when you mean hang up something.

So:

• Hun hænger sengetøjet på tørrestativet = She hangs the bed linen on the drying rack.
• Hun hænger sengetøjet op på tørrestativet = She hangs the bed linen up on the drying rack.

Adding op makes the action feel a bit more like the completed act of putting it up.
Without op, the sentence is still correct and natural.

Yes, if you want to make the possession explicit.

• sengetøjet = the bed linen
• sit sengetøj = her own bed linen

So:

• Hun hænger sengetøjet på tørrestativet = She hangs the bed linen on the drying rack.
• Hun hænger sit sengetøj på tørrestativet = She hangs her bed linen on the drying rack.

Because the owner is the subject hun, Danish uses the reflexive possessive:

• sin for common gender singular nouns
• sit for neuter singular nouns
• sine for plural nouns

Since sengetøj is neuter, it becomes sit sengetøj.

These are two vowels English speakers often notice right away:

• æ in hænger
• ø in tørrestativet and sengetøjet

A simple way to think about them:

• æ is somewhat like the vowel in English bed or cat, depending on accent, but not exactly the same.
• ø has no exact English equivalent. If you know German or French, it is similar to ö or the vowel in French deux.

The main point for a beginner is:

• æ and ø are separate Danish vowels
• they are not decorative spellings of a or o
• changing them can change the word entirely

So it is worth paying special attention to them from the start.