Hun hænger maleriet op med en hammer og to søm.

Because hænge op is a verb + particle combination, similar to English hang up or put up.

• hænge = to hang
• op = up

In Danish main clauses, the particle is often separated from the verb:

• Hun hænger maleriet op. = She hangs the painting up.

This is very common in Danish. Compare:

• Jeg tager jakken på. = I put the jacket on.
• Han skriver nummeret ned. = He writes the number down.

So hænger op belongs together in meaning, even though it is split in the sentence.

With these verb-particle combinations, the object often comes before the particle.

So Danish normally says:

• Hun hænger maleriet op.

rather than placing op immediately after the verb.

If the object is a pronoun, Danish usually puts the pronoun before the particle too:

• Hun hænger det op. = She hangs it up.

This is quite similar to English, where hang the painting up and hang it up are both natural, but Danish strongly favors the split pattern in sentences like this.

Because Danish usually marks definiteness by adding an ending to the noun.

• et maleri = a painting
• maleriet = the painting

So the definite article is often attached to the end of the noun:

• en bog → bogen
• et hus → huset
• et maleri → maleriet

You can use a separate word like det, but then it usually combines with an adjective or some other modifier:

• det store maleri = the big painting
• det nye maleri = the new painting

So in this sentence, maleriet is the normal way to say the painting.

Because Danish nouns belong to grammatical genders, and the indefinite article depends on the noun.

• en hammer = a hammer
• et maleri = a painting
• et søm = a nail

In modern Danish, people often talk about common gender nouns (en-words) and neuter nouns (et-words).

In this sentence:

• hammer is an en-word
• maleri is an et-word
• søm is an et-word

This matters for articles and for the definite ending:

• en hammer → hammeren
• et maleri → maleriet
• et søm → sømmet

Because søm is one of the Danish nouns whose plural is the same form as the singular.

• et søm = a nail
• to søm = two nails
• sømmet = the nail
• sømmene = the nails

So after a number, you simply say:

• to søm
• tre søm
• fire søm

Not all nouns work like this, of course. Many nouns do change in the plural, for example:

• en stol → to stole
• en bil → to biler

But søm does not.

Because in Danish, as in English, you normally do not use an indefinite article together with a number.

So:

• en hammer = a hammer
• to søm = two nails

You would not say en to søm, just like you would not say a two nails in English.

Here med means with, in the sense of using something as a tool or instrument.

So med en hammer og to søm means:

• using a hammer and two nails
• with a hammer and two nails

This is a very common use of med in Danish:

• Han skriver med en blyant. = He writes with a pencil.
• Jeg åbner den med en nøgle. = I open it with a key.

So here med introduces the means she uses to hang the painting up.

Yes. The preposition med applies to the whole coordinated phrase:

• en hammer og to søm

So the meaning is:

• with a hammer and two nails

not:

• with a hammer, and then separately two nails in some different grammatical role

This works the same way in English. One med covers both items joined by og.

Hænger is the present tense of hænge.

• at hænge = to hang
• hænger = hangs / is hanging / hangs up, depending on context

In this sentence, it describes a present action or a general statement.

A few useful forms are:

• at hænge = to hang
• hænger = hangs / is hanging
• hængte = hung
• har hængt = has hung

With op, you get hænge op = hang up.

Yes. In this sentence, hænge is transitive, because it takes an object:

• Hun hænger maleriet op.
• She hangs the painting up.

But hænge can also be intransitive, meaning something is hanging:

• Maleriet hænger på væggen. = The painting is hanging on the wall.

So Danish uses the same basic verb for both:

• to hang something
• to be hanging

The sentence here is clearly the transitive use because maleriet is the thing being hung.

This is the normal Danish main-clause order:

• subject
  • finite verb
    • other elements

So:

• Hun = subject
• hænger = finite verb
• maleriet = object
• op = particle
• med en hammer og to søm = prepositional phrase

Danish is a V2 language, which means the finite verb normally comes in the second position in main clauses. In this sentence, the subject comes first, so the verb naturally comes right after it.

For example, if another element came first, the verb would still stay second:

• I dag hænger hun maleriet op. = Today she hangs the painting up.

That verb-second pattern is one of the key features of Danish word order.

A rough guide for an English speaker:

• hænger: the æ is a front vowel, somewhat like the vowel in English cat, but not exactly the same. The word is roughly like HEN-ger with a more open vowel.
• søm: the ø is a rounded front vowel that English does not really have. You can think of it as something between the vowel in French deux or German schön if you know those.

A few sound notes:

• æ in hænger is one of the classic Danish vowels English speakers have to get used to.
• ø in søm is another very important Danish vowel.
• Final consonants in Danish are often softer or less strongly released than in English.

If you are learning pronunciation, æ and ø are definitely worth practicing separately.

Normally, no. That sounds unnatural in standard Danish.

The usual order is:

• Hun hænger maleriet op.

With these particle verbs, Danish generally places a full noun object before the particle. So for learners, the safe pattern is:

• verb + object + particle

Examples:

• Jeg tager skoene af. = I take the shoes off.
• Han stiller flasken ned. = He puts the bottle down.

So for this sentence, Hun hænger maleriet op is the form you should learn.

Not necessarily, but maleri is a very natural word if you mean a painted artwork.

• et maleri = a painting
• et billede = a picture/image

If you specifically mean an artwork on canvas or a painted work, maleri is a good choice. If you mean a picture more generally, Danish might often use billede.

So this sentence sounds like she is putting up an actual painting, not just any kind of picture.

Grammatically, the sentence is specifically saying she uses:

• en hammer = a hammer
• to søm = two nails

So if the real method were different, Danish would normally change that final phrase. For example:

• Hun hænger maleriet op med en krog. = She hangs the painting up with a hook.

The grammar stays the same; only the noun phrase after med changes.