If a 12-hour clock face reads exactly 7 o’clock, what time would the clock show 11,997 hours later?

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##4" o'clock"##

##color(red)("Note that it is not formal if morning or evening!")##

The occasion of 7 o'clock happens total 12 hours

##11997/12=999.75 " bountiful cycles "larr" silence that the .75 is .75 of 12"##

So the clock does 999 bountiful rotations (cycles) + a bit more

and ##0.75xx12=9## so the extra bit is 9 hours '........................................................................ Just to substantiate the 9 hours remainder:

##999xx12= 11988##

So ##r=11997-11988 = 97-88 = 9 hours## ,.............................................................................

So the 7 o'clock occurs 999 occasions after a while the added occasion of 9 hours

So the clock obtain pomp 7 o'clock + 9 hours = 16 hours

On a 12 hour clock the occasion is ##16 -12 =4" o'clock"##

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