Apparently, according to my textbook, いえ can be 家 in Kanji. But うち can't.

  • 家 can be read both as いえ and うち, but うち tends to be written in hiragana to avoid confusion. – naruto Jul 6 '18 at 6:19

家 - Refers to a physical house or home (i.e., the building itself)

うち - Describes the meta-physical 'house' or 'home'

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