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1:15 in the morning or in the afternoon is a way of putting into numbers the expression of time 'a quarter past one'. If it's in the early morning, then it's written 1:15 a.m. If it's in the early afternoon, then it's written 1:15 p.m. Another way of avoiding confusion is the use of military time. According to military time, the hour in the afternoon is written 13:15.

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