In simple terms you can think of air as a bunch of small table tennis balls (molecules) floating around. The blades of a fan are at an angle and when the fan rotates the blades "deflect" the molecules in a particular direction. Because those molecules are now no longer there a low pressure area os formed (low pressure means less molecules than the surrounding area) and because of that low pressure area, air molecules rush in (towards the fan) to rebalance the pressure difference.
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