Després de sopar, ja no tinc fam.

Literally, it means after dining / after having dinner.

A very natural English translation is simply after dinner, but grammatically Catalan is using:

• després de = after
• sopar = to have dinner / dinner

So després de sopar can feel like after eating dinner.

Because després de is the normal Catalan structure for after when it is followed by a noun or an infinitive.

Examples:

• després de classe = after class
• després de treballar = after working
• després de sopar = after dinner / after having dinner

So després on its own often needs de before the next element.

It is most naturally understood as an infinitive verb here: to have dinner.

So:

• després de sopar = after having dinner

But because sopar can also be a noun meaning dinner/supper, English speakers may feel it as something like after dinner. In practice, the meaning is the same here.

A useful contrast:

• després de sopar = after having dinner / after dinner
• després del sopar = after the dinner (a specific dinner, meal, or event)

Because Catalan often uses an infinitive after després de to mean after doing something.

So:

• després de sopar = after having dinner
• després de dinar = after having lunch
• després de treballar = after working

If you wanted to refer to a specific meal as a noun, you would usually add the article:

• després del sopar = after the dinner

Notice that de + el becomes del.

Ja no means no longer, not anymore, or not now anymore.

So:

• no tinc fam = I’m not hungry
• ja no tinc fam = I’m not hungry anymore / I’m no longer hungry

The idea is that the situation has changed. It suggests that earlier, the speaker was hungry, but after dinner, that is no longer true.

Because Catalan usually expresses this idea with tenir (to have) + a noun.

So:

• tenir fam = to be hungry
• tinc fam = I am hungry

This is similar to other common Catalan expressions:

• tenir set = to be thirsty
• tenir son = to be sleepy
• tenir fred = to be cold
• tenir calor = to be hot

So even though it literally looks like I have hunger, the natural English meaning is I am hungry.

Because the fixed expression is tenir fam, not tenir la fam.

In Catalan, several bodily states or needs are expressed without an article after tenir:

• tenir fam = to be hungry
• tenir set = to be thirsty
• tenir son = to be sleepy

So tinc fam is the normal, idiomatic form.

Because Catalan often drops the subject pronoun when it is already clear from the verb ending.

Here, tinc already tells you the subject is I:

• tinc = I have

So ja no tinc fam naturally means I’m not hungry anymore without needing jo.

You can add jo for emphasis or contrast:

• Jo ja no tinc fam, però ell sí.
  I’m not hungry anymore, but he is.

That is the normal way to negate a verb in Catalan.

Structure:

• no + verb

So:

• tinc fam = I’m hungry
• no tinc fam = I’m not hungry
• ja no tinc fam = I’m not hungry anymore

The order ja no tinc is the natural one here. Ja modifies the whole negative idea: no longer.

Yes, to some extent.

The original sentence:

• Després de sopar, ja no tinc fam.

is very natural because it starts with the time expression (after dinner) and then gives the main statement.

You could also say:

• Ja no tinc fam després de sopar.

This is understandable, but it may sound slightly less neat or less neutral depending on context. The original version is a very typical, natural way to present the idea.

It is very normal and good style to use it, because Després de sopar is an introductory time phrase.

So:

• Després de sopar, ja no tinc fam.

looks clear and natural in writing.

In very informal writing, some people might omit it, but the comma is a good choice and helps readability.

A careful pronunciation is approximately:

des-PRÉS de so-PAR, ja no TING FAM

A few helpful notes:

• després has the stress on the last syllable: -prés
• sopar has the stress on the last syllable: -par
• tinc ends with a clear -nc sound
• fam has a simple m at the end

If you say it smoothly, it will sound something like:

Després de sopar, ja no tinc fam.

with the voice naturally pausing a little at the comma.