To have something more important to do.
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To have more urgent things to deal with than the one in front of you.
When you have bigger fish to fry, you put the small stuff aside.
It simply isn't worth your attention right now.
"Pick Your Battles"
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Choosing which conflicts to engage in — bigger fish to fry is about priorities, not conflict avoidance
"Don't Sweat the Small Stuff"
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Don't worry about minor things — bigger fish to fry implies an active shift of focus to more important matters
"Have Bigger Fish to Fry"
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Having more important or urgent things to deal with than the current minor issue