Άσε με να τινάξω το πατάκι έξω, γιατί έχει γεμίσει ψίχουλα.

Άσε με means let me here.

The full imperative of αφήνω is commonly άφησε, but in everyday speech Greek very often uses the shorter form άσε. So:

• Άφησέ με = let me / leave me
• Άσε με = same meaning, more everyday and very common

In this sentence, it clearly means let me, not leave me alone.

Greek normally uses the pattern:

άσε με να + verb

to mean let me do something.

So:

• Άσε με να τινάξω... = Let me shake out...

The word να introduces the following verb phrase, which is in the subjunctive form. This is a very common Greek structure.

Τινάξω is the aorist subjunctive form of τινάζω.

After να, Greek often chooses between:

• present subjunctive for an ongoing, repeated, or habitual action
• aorist subjunctive for a single, complete action

Here, shaking out the mat is a single action, so να τινάξω is the natural choice.

Compare:

• να τινάξω το πατάκι = to shake out the mat once
• να τινάζω το πατάκι = to be shaking it / to shake it repeatedly or habitually

Here τινάξω means something like:

• shake out
• give a shake to remove dust, crumbs, etc.

It is often used for things like rugs, mats, tablecloths, blankets, and similar objects.

So this is not just a random shake. It specifically suggests shaking the mat so the crumbs fall off.

Πατάκι means small mat, doormat, or little rug, depending on context.

It is a neuter noun, which is why it takes:

• το πατάκι in the singular

The ending -άκι is very common in Greek and often gives a diminutive sense, meaning something small or familiar.

So πατάκι is literally the kind of word you would expect for a small mat.

Because the speaker is talking about a specific mat, not just any mat.

• το πατάκι = the mat
• ένα πατάκι = a mat

In everyday Greek, the definite article is used very often when both speaker and listener know which thing is being discussed. In a household situation, το πατάκι naturally means the mat we both know about.

Έξω means outside.

So:

• να τινάξω το πατάκι έξω = to shake the mat outside

Its position is natural in spoken Greek. Word order is flexible, but placing έξω after the object sounds very normal here.

It tells you where the shaking will happen: outside, not inside the house.

Yes, γιατί can mean both:

• why?
• because

In this sentence it means because:

• ..., γιατί έχει γεμίσει ψίχουλα.
• ..., because it has filled up with crumbs.

Greek uses the same word for both meanings, and the sentence structure and intonation make the meaning clear.

You could also say επειδή, which also means because, but γιατί is extremely common and natural in everyday speech.

Έχει γεμίσει comes from γεμίζω = fill.

Here it means something like:

• has filled up
• has become full
• has gotten covered/full of

So έχει γεμίσει ψίχουλα means the mat has gotten full of crumbs.

This is a very natural Greek way to describe the result of something. The focus is on the current state: the mat is now full of crumbs.

Ψίχουλα means crumbs.

Greek often allows γεμίζω / γεμίζω κάτι / κάτι γεμίζει with the thing that fills it directly after the verb, without με.

So:

• έχει γεμίσει ψίχουλα = it has filled up with crumbs

You may also hear:

• έχει γεμίσει με ψίχουλα

That is also possible and may sound a bit more explicit. But the version without με is very natural.

Because ψίχουλα here means crumbs in general, not the specific crumbs.

So Greek, like English, can leave the noun indefinite:

• ψίχουλα = crumbs

If you added an article, it would sound more specific:

• τα ψίχουλα = the crumbs

Here the idea is simply that the mat has gotten full of crumbs, not that we are identifying a particular set of crumbs.

Yes, but the nuance is a little different.

• Άσε με να τινάξω το πατάκι = Let me shake out the mat
  This directly asks the other person to allow you to do it.

• Ας τινάξω το πατάκι = Let me shake out the mat / I’ll shake out the mat
  This can sound more like a suggestion or a decision the speaker is making.

So both are possible in some situations, but Άσε με να... is the more direct way to say let me do it to another person.