It is 57/60, which can be simplified but, in my view, the unsimplified version is easier to work with.
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It is: 3/8 of an hour
It is: 19/60 of an hour
An hour has 60 minutes, so 27 minutes of an hour is 27/60. In simplest terms it is 9/20.
Well, isn't that just a happy little question! 29 minutes out of 60 minutes in 1 hour is like painting a beautiful sky with just over half of your favorite colors. So, 29 minutes out of 60 minutes simplifies to 29/60, which is a lovely fraction capturing that moment in time.
It is: 6/60 = 1/10 of an hour