Min datter får et myggebid på armen, så vi finder myggesprayen frem med det samme.

In Danish, a possessive like min, din, hans, vores, etc. normally replaces the definite article.

So you say:

• min datter = my daughter
• min bil = my car

Not:

• min datteren
• min bilen

This is different from English only in form, not in meaning.

Får is the present tense of få, which very often means get in English.

So Min datter får et myggebid is literally My daughter gets a mosquito bite.

Danish uses få in many of the same situations where English uses get, for example:

• få en idé = get an idea
• få feber = get a fever
• få et brev = get a letter

So this is a very natural verb choice.

Because Danish nouns have grammatical gender.

• datter is a common gender noun, so it takes en in the indefinite form: en datter
• myggebid is a neuter noun, so it takes et: et myggebid

That is why you see:

• min datter
• et myggebid

You have to learn the gender of each noun as part of the word.

Myggebid is a compound noun:

• mygge- = mosquito
• bid = bite

So together it means mosquito bite.

Danish makes compound nouns very freely, and they are usually written as one word. That is one big difference from English, where the equivalent is often written as two words.

That -e- is a linking element that often appears in Danish compounds.

So instead of combining the words in the simplest possible way, Danish sometimes inserts a small sound like -e- or -s- between the parts.

For learners, the safest approach is usually to learn the compound as a whole:

• myggebid
• myggespray

rather than trying to predict every linking sound from a rule.

When Danish talks about body parts, it often uses the definite form instead of a possessive, if it is already obvious whose body part is meant.

So:

• på armen = on the arm

Here, since the subject is min datter, it is already clear that it is her arm.

This is very common in Danish:

• Hun vasker hænderne = She washes her hands
• Jeg har ondt i ryggen = My back hurts / I have pain in my back

You can say på hendes arm, but that usually adds emphasis or contrast.

Because the bite is understood as being on the arm, on its surface.

So:

• på armen = on the arm

If you said i armen, that would usually suggest in the arm or inside/into the arm, which is a different idea.

Here så means so, and it connects two main clauses:

• Min datter får et myggebid på armen
• vi finder myggesprayen frem med det samme

After this kind of så, Danish keeps normal main-clause word order:

• så vi finder ...

If Så started a new sentence by itself as an adverb meaning something like then/so, you would often get inversion:

• Så finder vi myggesprayen frem.

So both patterns exist, but they are used in slightly different structures.

Finde frem is a very common Danish verb expression. In this context it means something like:

• get out
• bring out
• dig out
• find and fetch

So vi finder myggesprayen frem means that we go and get the mosquito spray ready to use.

The word frem is part of the expression, even though it appears later in the clause. This is similar to a separable verb or a phrasal-verb-like structure.

Because the sentence means the mosquito spray, not just mosquito spray in general.

Danish usually marks definiteness by adding an ending to the noun:

• en spray = a spray
• sprayen = the spray

In a compound noun, the definite ending goes on the whole word:

• en myggespray = a mosquito spray
• myggesprayen = the mosquito spray

It sounds natural here because the speakers probably mean a specific spray they have at home.

It means immediately, right away, or at once.

Literally, the words are:

• med = with
• det samme = the same

But as a fixed expression, med det samme simply means without delay.

A close synonym is straks.

Danish often uses the present tense for:

• describing a typical situation
• telling a story vividly
• giving an example of what happens

So the sentence can sound like:

• This is what happens
• Here is the situation

If you wanted to place it clearly in the past, you could say:

• Min datter fik et myggebid på armen, så vi fandt myggesprayen frem med det samme.

No. Many Danish speakers also say myggestik.

Both refer to a mosquito bite, though myggestik is often very common in everyday Danish.

So you may hear both:

• et myggebid
• et myggestik

The sentence is still perfectly understandable with myggebid.

Because the sentence contains two clauses, each with its own finite verb:

• får
• finder

The comma helps show the boundary between the two parts:

• first: the daughter gets a mosquito bite
• second: we get the mosquito spray out

In written Danish, this kind of comma is very common when two clauses are linked like this.