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Quarter to 6 o'clock is 5:45. Quarter to means 15 until the next hour. 15 is a quarter of 60. The other way of looking at is 45 minutes of the current hour have passed and there is a quarter left until the next.
6:45
A quarter to seven is 6:45 because at 6:45 there are fifteen minutes (a quarter of an hour) until 7:00.
25 minutes to 6:00
6