1.
to become free; to finish what one was doing and be available
For one's hands to come free — that is, to finish the task at hand and have time for something else. Literally 'one's hands become empty.' Used constantly at work to offer or ask for help.
Structure: 手 (hand) + が + 空く (to become empty, to open up).
Common patterns
- 手が空いたら: when you get a moment
- 手が空いている: to be free right now
- 手が空いていない: to be busy (the standard polite refusal)
Similar words
- 暇になる: to become free — about having no work at all; 手が空く is about the gap between tasks
- 時間が空く: to have a slot open up — about the schedule rather than the person
- 手が離せない: to be unable to break away — hands literally occupied at this moment
Usage
Asking 手が空いていますか is gentler than 忙しいですか, because it implies you will wait until the person is ready.