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One hour = 60 minutes. Quarter hour = 15 minutes.

Quarter [hour] to the hour = 15 minutes to the hour. OR start with the hour, say 1:00 PM. in fifteen minutes it will be a quarter after the hour. At thirty minutes it will be half past the hour. In forty five minutes it will be a quarter ( fifteen minutes) TO the next hour or a quarter to 2:00 PM.

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