気を紛(らす means deliberately focusing on something else to get temporary relief from worry, sadness, loneliness, or anxiety. English equivalents include “take one’s mind off things” and “distract oneself”.
Literal Meaning
This expression literally translates as “to scatter or mix up one’s spirit”. The word 気( represents one’s spirit, mind, or feelings, while 紛(らす means to confuse, mix up, or divert.
Usage Notes
Someone might listen to music, take a walk, or talk to a friend to avoid dwelling on a problem. Unlike 気(が散(る, which is involuntary, 気(を紛(らす is deliberate.
Akari is expecting a text message from Izumi. Unknown to her, Izumi’s response was getting too long, so he switched to his computer to write up an e-mail instead.
Narration:
「和泉(からの返信(が来(ない」
“I haven't received a reply from Izumi.”
あかり:
「楽(しみにしてた新刊(読(んで気(を紛(らわそう!」
“I'll distract myself by reading the new book I've been looking forward to!”
「没頭(してたらいつのまにか返信(来(てたりするかもね!」
“Maybe if I get really absorbed in it, the reply will show up before I know it!”