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I have a quick question about converting a difference between 2 times into minutes.

I am modelling a 24 hour clock. The time 900 represents the time 09:00 and 1500 represents the time 15:00. If I subtract the two I get a difference of 600. If I want to convert this to minutes I would write (600/100)*60. There's my answer, but I can't seem to get my head round what (600/100) is doing. Why do I need to divide it by 100?

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