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Gina spent 90 x 3/5 = <<90*3/5=54>>54 minutes watching TV.
So, 90 - 54 = <<90-54=36>>36 minutes was the remainder of the time.
Then, 36 x 1/6 = <<36*1/6=6>>6 minutes was spent texting a friend.
Thus, Gina spent 36 - 6 = <<36-6=30>>30 minutes reading. Answer: \boxed{30}.