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There are 60 seconds in 1 minute and 60 minutes in 1 degree (making 60 x 60 = 3600 seconds in 1 degree).

Thus to convert 7° 44' 35" to a decimal divide the 44 minutes by 60 and the 35 seconds by 3600, ie it is 7 + 44/60 + 35/3600 ° ≈ 7.7431°

However, it can be worked out without needing to convert to decimals:

1° = 60'

1' = 60"

→ 90° = 89° + 1° = 89° + 60' = 89° + 59' + 1' = 89° + 59' + 60"

→ 90° - 7° 44' 35" = (89 - 7)° (59 - 44)' (60 - 35)" = 82° 15' 25"

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