Min søster har fri på fredag, så hun tager gerne med til museet.

Har fri is an idiomatic Danish expression meaning is off, has the day off, or doesn’t have work/school.

So Min søster har fri på fredag means your sister is free from her usual obligations on Friday, not just that she has “free time” in a general sense.

A few similar examples:

• Jeg har fri i morgen. = I’m off tomorrow.
• Hun har fri fra arbejde. = She is off work.

In Danish, på is commonly used with days and specific parts of the week.

So:

• på fredag = on Friday
• på mandag = on Monday

This works much like English on Friday.

A useful contrast:

• fredag can also be used by itself in some contexts
• på fredag often clearly means this coming Friday

Because så here means so as a conjunction joining two clauses:

• Min søster har fri på fredag, så hun tager gerne med til museet.

After a coordinating conjunction like this, the second clause keeps normal main clause word order:

• hun tager

If så were being used as an adverb meaning something like then, inversion could happen in some contexts:

• Så tager hun med. = Then she comes along.

So here:

• så = so, conjunction
• therefore hun tager, not tager hun

Tager med means comes along or goes along in this sentence.

The basic verb is tage = take, but Danish often uses verbs together with small words like med to create meanings that do not translate word-for-word.

Here:

• hun tager med = she comes along / joins in

Compare:

• Jeg tager med. = I’m coming along.
• Vil du tage med? = Do you want to come along?

So although tage usually means take, tage med here is best understood as a fixed expression.

Gerne means something like gladly, happily, or with pleasure.

So:

• hun tager gerne med = she’ll gladly come along / she is happy to come along

It adds willingness or enthusiasm.

Compare:

• Hun tager med. = She is coming along.
• Hun tager gerne med. = She is happy to come along / she’ll gladly come along.

Because gerne usually goes with the verb phrase and comes before particles like med.

So Danish says:

• hun tager gerne med

not normally:

• hun tager med gerne

You can think of gerne as modifying the action tager med: she gladly comes along.

This word order is very natural in Danish and is something learners mainly get used to through exposure.

Because til shows movement to a place, while i usually shows being in a place.

Here the idea is going to the museum:

• til museet = to the museum

Compare:

• Vi går til museet. = We’re going to the museum.
• Vi er i museet. = We are in the museum.

So in this sentence, til is correct because it expresses destination.

Because museet is the definite form: the museum.

Danish usually adds the definite article to the end of the noun rather than putting a separate word in front, as English does.

So:

• et museum = a museum
• museet = the museum

This noun is a neuter noun, which is why the indefinite article is et.

Because søster is a common gender noun in Danish, and common gender nouns take min in the singular.

Possessives match the gender/number of the noun:

• min for common gender singular
• mit for neuter singular
• mine for plural

So:

• min søster = my sister
• mit hus = my house
• mine bøger = my books

Yes. Danish often uses the present tense to talk about future events, especially when the context already makes the future clear.

Here:

• på fredag tells us the time is in the future
• so hun tager gerne med naturally means she’ll gladly come along

This is very similar to English sentences like:

• I’m meeting her on Friday
• We’re going to the museum tomorrow

Yes, absolutely.

• Hun tager gerne med = She’ll gladly come along / She is happy to come along
• Hun vil gerne tage med = She would like to come along / She wants to come along

The difference is subtle:

• tager gerne med sounds a bit more like a straightforward, willing plan
• vil gerne tage med emphasizes desire or wish more directly

Both are natural, but the original sentence sounds smooth and conversational.

Yes, fri is originally an adjective meaning free, but in have fri it functions as part of a fixed expression.

So while fri by itself can mean free:

• Er du fri i aften? = Are you free tonight?

in har fri it specifically means:

• off work
• off school
• not on duty

So learners should remember have fri as a chunk.

Not very naturally. A word-for-word version would be something like:

• My sister has free on Friday, so she takes gladly along to the museum.

That is not natural English.

A better natural translation would be:

• My sister has Friday off, so she’ll gladly come along to the museum. or
• My sister is off on Friday, so she’d be happy to come to the museum.

This sentence is a good example of why Danish expressions like har fri, tager med, and gerne should be learned as meaningful chunks rather than translated literally.