Jeg tager ofte rugbrød med på arbejde, fordi det holder mig mæt længere.

Because at tage noget med is a common Danish verb phrase meaning to take/bring something along.

In a main clause, Danish usually puts the finite verb in second position, so tager comes early:

• Jeg tager ofte rugbrød med på arbejde.

The particle med stays later in the sentence. This is very similar to English phrasal verbs:

• I take rye bread along to work.

So the full idea is:

• tage rugbrød med = take rye bread along

This is because Danish main clauses follow the V2 rule: the finite verb normally comes second.

So:

• Jeg = subject
• tager = finite verb
• ofte = adverb

That gives:

• Jeg tager ofte ...

This is very natural word order in Danish. Compare:

• Jeg spiser ofte rugbrød. = I often eat rye bread.
• Han kommer altid for sent. = He always arrives too late.

So ofte is in a normal adverb position after the finite verb.

Because rugbrød here is being used as a mass noun or a general food item, like English bread.

So:

• Jeg tager ofte rugbrød med ...
  = I often take rye bread ...

Not:

• Jeg tager ofte et rugbrød med ...

Using no article makes it sound like some rye bread or rye bread in general, not necessarily one whole loaf.

If you wanted to be more specific, you could say things like:

• et stykke rugbrød = a piece of rye bread
• en skive rugbrød = a slice of rye bread
• et rugbrød = a loaf of rye bread

Rugbrød is a very common Danish type of dense rye bread. It is darker, heavier, and more filling than the soft white bread many English speakers may think of first.

It is strongly associated with Danish food culture, especially for:

• lunch
• open sandwiches
• simple packed meals

So in this sentence, the speaker is basically saying they bring rye bread to work because it keeps them full for longer.

På arbejde is an idiomatic expression meaning at work or to work/in a work setting.

Danish often leaves out the article in fixed expressions like this:

• på arbejde = at work / to work
• i skole = at school / to school
• i seng = in bed / to bed

So:

• tage noget med på arbejde
  means take something along to work

If you said på arbejdet, it would sound more like at the workplace/the job itself in a more specific or marked way. In this sentence, på arbejde is the normal choice.

Yes, you may hear both, but med på arbejde is very common and idiomatic when talking about bringing something along to your workplace.

A rough difference is:

• med på arbejde = along to work / with me for work
• med til arbejde = to work, with a bit more focus on destination

In many everyday contexts, they overlap, but the version in your sentence sounds very natural.

Here det refers to rugbrød.

A useful grammar point: in Danish, compound nouns take their gender from the last part of the compound. The last part here is brød, and brød is neuter:

• et brød

So:

• et rugbrød
• therefore the pronoun is det

That is why the sentence says:

• fordi det holder mig mæt længere
  = because it keeps me full longer

This is a very useful pattern in Danish:

• holde nogen + adjective

It means keep someone + adjective/state.

So:

• det holder mig mæt = it keeps me full

Breakdown:

• det = it
• holder = keeps
• mig = me
• mæt = full

Here, mig is the object, and mæt describes my state.

You can compare:

• Det gør mig glad. = It makes me happy.
• Det holder børnene rolige. = It keeps the children calm.

So holde mig mæt is very natural Danish.

Because mig is the object form of jeg.

Compare:

• Jeg spiser rugbrød. = I eat rye bread.
• Det holder mig mæt. = It keeps me full.

So the sentence needs mig because the bread is affecting me as the object of holder.

Because mæt is the correct singular predicative form here.

In this sentence, it describes the state of mig (me), and the idea is:

• I am full

So:

• det holder mig mæt = it keeps me full

You will often see mæt used this way:

• Jeg er mæt. = I am full.
• Hun bliver hurtigt mæt. = She gets full quickly.

Længere means longer. It is the comparative form of længe (for a long time).

So:

• det holder mig mæt længere = it keeps me full longer

The comparison is implicit. It usually means something like:

• longer than other food
• longer than if I ate something else
• longer than usual

You do not have to say the full comparison explicitly.

Because fordi introduces a subordinate clause.

After fordi, Danish does not use main-clause V2 word order. The structure is more straightforward:

• fordi det holder mig mæt længere

If you add an adverb like ikke, you can see this more clearly:

• fordi det ikke holder mig mæt længe nok
  = because it does not keep me full long enough

Not:

• fordi det holder ikke ...

So this sentence shows normal subordinate-clause word order.

Because tage ... med is a very common everyday way to say take/bring something along from the speaker’s point of view.

• Jeg tager mad med på arbejde. = I take food to work / I bring food to work.

Bringe also exists, but it often sounds a bit more formal or can focus more on bringing something to a place or person.

For casual everyday Danish, tage ... med is extremely natural here.

Because fordi starts a subordinate clause:

• ..., fordi det holder mig mæt længere.

In Danish, commas are often used before subordinate clauses, depending on the comma system being followed. So the comma here is normal and helps show that the second part explains the reason.

The structure is:

• main clause: Jeg tager ofte rugbrød med på arbejde
• subordinate clause giving the reason: fordi det holder mig mæt længere