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Degrees and minutes are units to measure angles, as you know (or must know).
61 2/3° is 61 whole degrees PLUS 2/3 of a degree.
One degree is 60 minutes. (BY THE DEFINITION)
Hence, 2/3° is the angle of
minutes = 40 minutes.
Thus 61 2/3° = 61°40', or, equivalently, in wording form, 61 degrees and 40 minutes.
The notion " 40' " means 40 minutes.