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If $5758_w9_h37.png$ of an office staff is on vacation and $3894_w9_h38.png$ of those not on vacation are out sick, what fraction of the staff is in the office?

A $7444_w9_h37.png$

If 1/3 are on vacation, then $4534_w9_h37.png$ are not. Of those $4534_w9_h37.png$ not on vacation, $3606_w9_h38.png$ are NOT sick. Therefore $2795_w44_h38.png$ are in the office (not on vacation and not sick) = $6947_w210_h38.png$