It is: 15 minutes past the hour
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An hour is 60 minutes and if a quarter has passed after the hour then that means 15 minutes have passed past the hour.
15
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.
15 minutes. Each hour can be broken down into 4 quarters. 15 minutes after the hour is "a quarter past," and 15 minutes before the hour is "a quarter to." A On an digital clock, this would read (for example) 1:45 and it would be " a quarter to 2"
Quarter to means 15 minutes before the hour; e.g. 5:45 Quarter past means 15 minutes after the hour; e.g. 16:15