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A quarter to an hour is 15 minutes to the hour. As there are 60 minutes in an hour, this is also 45 minutes after the previous hour.

So a quarter to 5 is 45 minutes after 4. However, 4am is 04:00 and 4pm is 16:00, so a quarter to 5 is either 04:45 or 16:45 depending upon whether it is am or pm.

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Q: What is a quarter to five in twenty-four hour time?
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