Let’s try this kind of thing?
How about this way?

-ㄹ까 is often used when talking about this kind of thing, but it is an essential grammar for learning Korean.

Suggest something to the other person or ask for their opinion.

Ask a question of the other party.

-ㄹ까 is often used to suggest something to the other person.

Suggestions and questions.

저도 같이 갑니다.
I’ll go with you.

↓↓↓

저도 같이 갈까요?
Shall I go with you?

It elicits the other person’s opinion or thought in response to a question.

Incidentally, -ㄹ까 is also used to express your concern in the form of a question, but it is slightly different from this.

How to use “-ㄹ까”.

When using -ㄹ까 in the nuance of a suggestion, it is combined with a verb.

Av + -(으)ㄹ까

가다 + -ㄹ까 = 갈까
만나다 + -ㄹ까 = 만날까
공부하다 + -ㄹ까 = 공부할까

먹다 + -ㄹ까 = 먹을까
찍다 + -ㄹ까 = 찍을까
읽다 + -ㄹ까 = 읽을까

듣다 + -ㄹ까 = 들까
만들다 + -ㄹ까 = 만들까
돕다 + -ㄹ까 = 도울까

※Av = an action verb

Add -ㄹ까 to the stem of a word without a patchum and -을까 to a word with a patchum.

No patchum in the stem

우리 영화를 보러 갈까요?
Shall we go watch a movie?
(가다)
내일은 어디서 만날까요?
Where shall we meet tomorrow?
(만나다)
내년에 다시 여기로 올까?
Shall we come back here next year?
(오다)

Have a patchum in the stem

내가 책상을 닦을까요?
Shall I wipe the desk for you?
(닦다)
제가 사진을 찍을까요?
Would you like me to take your picture?
(찍다)
과일은 다 냉장고에 넣을까?
Shall I put all fruit in the refrigerator?
(넣다)

If -요 is added to the end of a sentence, it becomes polite.

Cases of irregular changes.

ㄹpatchum

오늘은 뭐하고 놀까요?
What shall we do for fun today?
(놀다)

Since there is already a ㄹ-pachym in the stem, only -까 is added.

Part of ㄷpatchum

거기까지 잠깐 바람 쐬러 걸을까?
Shall we walk there for a change?
(걷다)

For words where the ㄷ patchm changes to ㄹ, add -을까 after the change.

Part of ㅂpatchum

정 그러고 싶으면 내가 도울까?
If you’re really up for it, I can give you a hand.
(돕다)

The vocabulary where the ㅂ patchum changes to 우 is added -ㄹ까 at the point of change.

“-ㄹ까” can also be used in this way.

Can be used as a “solicitation expression” when inviting someone.

A proposal is a question, and depending on how the question is asked, it can be an expression of solicitation.

차나 한잔 할까요?
Would you like to join us for a cup of tea?
우리 카페에서 같이 공부할까요?
Shall we study together at the cafe?
점심시간에 감자탕 먹으러 갈까?
Shall we go have Gamjatang during lunch time?

It will often be used with 같이, etc.

It can also be used as a soliloquy.

ㄹ까 can also be asked of itself.

저녁은 뭘 먹을까?
What shall I have for dinner?
식사 후에 커피라도 마실까?
Maybe I’ll have a cup of coffee after lunch.
오랜만에 공원에서 운동할까?
Should I work out in the park after a long time?

You can practice talking to yourself as much as you want.

It is recommended that grammar with the same sentence pattern but different meanings be practiced separately to avoid confusion.