Both are accepted, but "a quarter after" is preferred in formal writing.
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825 I think A quarter of 8 is 2. A quarter till 8 is 7:45. A quarter past 8 is 8:15. A quarter plus 8 is 8 1/4. A quarter minus 8 is -7 3/4. A quarter divided by 8 is 1/32.
The "quarter" in this case refers to a quarter hour, so that's a quarter hour (or 15 minutes) after 8.
4:45 ; Quarter to 5 5:15 ; Quarter past 5
Quarter past 12 !
From right now, 8 hours 34 minutes = 514 minutes. Note: This answer will be wrong, and will self-destruct, in one minute. However, it will be correct again in 12 hours.