Fyren er flink.

Because -en is the usual definite ending for a singular common-gender noun in Danish.

• fyr = guy / fellow
• fyren = the guy

So instead of putting a separate word before the noun, Danish often adds the definite article to the end of the noun.

In Danish, the definite article is usually attached to the noun as a suffix.

So:

• en fyr = a guy
• fyren = the guy

This is one of the first big differences English speakers notice. English uses a separate word; Danish often uses an ending.

A separate definite word does appear in other structures, especially when there is an adjective before the noun:

• den flinke fyr = the nice/kind guy

Fyr means guy, fellow, or sometimes bloke depending on tone. It is fairly everyday and a bit informal, but very common and natural.

It is not rude by itself. It just sounds more casual than a word like mand in some contexts.

So fyren feels like the guy rather than something very formal like the man.

Er is the present tense of at være, which means to be.

So:

• jeg er = I am
• du er = you are
• han/hun er = he/she is
• fyren er = the guy is

Unlike English, Danish does not change the present tense form for different persons. It is always er.

Flink is a very common adjective, but it does not map perfectly onto just one English word.

Depending on context, it can mean things like:

• nice
• kind
• helpful
• good
• clever
• well-behaved

In Fyren er flink, it most naturally suggests that the guy is nice, kind, or pleasant/helpful.

A useful way to think of flink is that it often describes someone positively in terms of behavior, attitude, or competence.

Yes. Danish adjectives often agree with the noun.

Here it is:

• fyren er flink

That is because fyr is a singular common-gender noun.

Other forms include:

• barnet er flinkt = the child is nice/good
  because barn is a singular neuter noun
• drengene er flinke = the boys are nice/good
  because the noun is plural
• den flinke fyr = the nice guy
  because adjectives before a definite noun usually take -e

So the base form flink fits this sentence correctly.

A rough pronunciation guide for an English speaker is:

• Fyren ≈ FY-uhn
• er ≈ a very short, weak air or uh
• flink ≈ flingk

A few notes:

• The y sound in Danish is not the same as English y. It is a rounded vowel, a bit unusual for English speakers.
• er is often unstressed and reduced in normal speech.
• flink has a short vowel and a clear final k sound.

You may hear the whole sentence said quite smoothly, with er sounding very light.

No, this is the basic Danish statement pattern:

• subject + verb + complement

So:

• Fyren = subject
• er = verb
• flink = adjective complement

It works very much like English The guy is nice.

If you turn it into a yes/no question, Danish usually puts the verb first:

• Er fyren flink? = Is the guy nice?

Because here flink is not directly describing the noun inside a noun phrase. It is part of the predicate after er.

Compare:

• Fyren er flink = The guy is nice
  adjective after is / er
• en flink fyr = a nice guy
  adjective before the noun

So Danish works much like English here.

You would move the adjective before the noun.

• en flink fyr = a nice guy
• den flinke fyr = the nice guy

Notice the differences:

• indefinite: en flink fyr
• definite: den flinke fyr

When the noun is definite and has an adjective before it, Danish normally uses both:

• a definite article word like den
• and an adjective form ending in -e
• while the noun itself usually appears without the attached definite ending in that structure

So not den flinke fyren, but den flinke fyr.

Yes. It is short, simple, and natural.

The only thing to notice is that fyr is everyday language, so the sentence has a casual feel. That is usually perfectly normal in conversation.

If you wanted a different tone, you might choose another noun, but Fyren er flink is absolutely standard Danish.