Denne metode er bedre for mig, men den digitale version er hurtigere for hende.

Denne means this, while den usually means that / it / the depending on context.

• denne metode = this method
• den metode = that method or sometimes the method in certain structures

So denne metode er bedre for mig specifically points to a method that is close or current from the speaker’s point of view: this method is better for me.

Also note that denne is a common written form. In everyday speech, many Danes often use den her metode instead.

Danish usually marks definiteness in one of two main ways:

1. With a suffix on the noun:

   • en version = a version
   • versionen = the version

2. With a demonstrative/article-like word plus an adjective:

   • den digitale version = the digital version

When there is an adjective before the noun, Danish normally uses:

• den/det/de + adjective + noun in definite form

So:

• den digitale version = the digital version

Here:

• den = definite marker for common gender singular
• digitale = adjective in definite form
• version = noun

This is the normal pattern. You do not say den digitale versionen.

Both are comparative adjective forms.

• god = good

• bedre = better

• hurtig = fast/quick
• hurtigere = faster/quicker

The sentence is comparing two things:

• Denne metode er bedre for mig = this method is better for me
• den digitale version er hurtigere for hende = the digital version is faster for her

A useful pattern is:

• X er bedre = X is better
• X er hurtigere = X is faster

Not all comparatives are formed the same way:

• some are irregular, like god → bedre
• many regular ones add -ere, like hurtig → hurtigere

Because the adjective is in the definite form.

Compare:

• en digital version = a digital version
• den digitale version = the digital version

When an adjective comes after den/det/de in a definite noun phrase, it usually takes -e:

• den store bil = the big car
• det store hus = the big house
• de store biler = the big cars

So here:

• den digitale version

The -e ending is not because the noun is plural. It is because the phrase is definite.

Because after the preposition for, Danish uses the object form of the pronoun.

Compare:

• jeg = I

• mig = me

• hun = she
• hende = her

So:

• for mig = for me
• for hende = for her

This is similar to English:

• we say for me, not for I
• we say for her, not for she

Yes, here for does mean for.

In this sentence, it expresses what suits someone or works better in relation to someone:

• bedre for mig = better for me
• hurtigere for hende = faster for her

It does not necessarily mean physical benefit only. It can also mean:

• more convenient for
• more suitable for
• better from someone’s point of view

So bedre for mig can mean something like better for me / better from my perspective / works better for me.

Because these are two different structures:

1. denne + noun

   • denne metode = this method

2. den + adjective + noun

   • den digitale version = the digital version

So denne already includes the idea of this, and it stands directly before the noun.

But when you have a definite noun phrase with an adjective, Danish uses den/det/de before the adjective:

• den digitale version
• det store hus
• de nye bøger

That is why the two noun phrases look different.

Danish is a V2 language, which means the finite verb usually comes in the second position in main clauses.

In both parts of the sentence:

• Denne metode | er | bedre for mig
• den digitale version | er | hurtigere for hende

The subject comes first, and the finite verb er comes second.

After men, a new main clause begins, and the same rule applies again:

• men den digitale version er hurtigere for hende

This verb-second pattern is very important in Danish word order.

Because men means but and joins two main clauses:

• Denne metode er bedre for mig
• den digitale version er hurtigere for hende

In standard Danish punctuation, a comma is typically used before a coordinating conjunction like men when it links two full clauses.

So the comma helps show the break between the two ideas:

• this method is better for me,
• but the digital version is faster for her.

Yes. In many contexts, hurtigere can be translated as either faster or quicker.

• hurtig can mean fast or quick
• hurtigere can mean faster or quicker

The best English choice depends on context. In this sentence, the digital version is faster for her sounds natural, but quicker for her could also work depending on what exactly is being compared.

Yes. Version is an en-word (common gender noun), which is why it goes with den:

• en version
• den version
• den digitale version

If it were a neuter noun (et-word), you would use det instead:

• et hus
• det store hus

So the phrase tells you that version is common gender.

Yes, but it means something different.

• bedre = better
• bedst = best

So:

• Denne metode er bedre for mig = this method is better for me
  (compared with at least one other option)

• Denne metode er bedst for mig = this method is best for me
  (it is the top choice)

In the original sentence, the speaker is making a comparison, not necessarily saying it is the best overall option.

In this sentence, hende simply means her.

• for hende = for her

Danish does have reflexive forms, but hende here is just the ordinary object pronoun.

If the meaning were reflexive in a context where Danish requires a reflexive form, you might see something else, depending on the structure. But in this sentence, you should just understand it as her.

Yes, but the meaning changes slightly.

• denne metode = this method
• metoden = the method

So:

• Denne metode er bedre for mig points to a specific method as this one
• Metoden er bedre for mig means the method is better for me, which is less explicitly contrastive or deictic

If the context already makes it clear which method you mean, metoden could work. But it does not emphasize this in the same way.

The sentence follows a very common pattern:

[subject] + [verb] + [comparative adjective] + [prepositional phrase]

First clause:

• Denne metode = subject
• er = verb
• bedre = comparative adjective
• for mig = prepositional phrase

Second clause:

• den digitale version = subject
• er = verb
• hurtigere = comparative adjective
• for hende = prepositional phrase

Joined together with men = but.

This is a very useful model for making your own sentences in Danish.