How Time Arithmetic Works: Base-60 Math
Unlike ordinary decimal math, time uses base-60 for seconds and minutes. To add two durations (e.g., 2h 45m + 3h 30m), either convert both to total seconds or total minutes, add, then convert back: 165 + 210 = 375 minutes = 6 hours 15 minutes. Subtraction works the same way with borrowing: 3:15 − 1:45 requires borrowing an hour (60 minutes), giving 2:75 − 1:45 = 1:30. Our calculator does all of this internally and shows three equivalent representations at once: HH:MM:SS (natural reading), total minutes (easy to multiply), and decimal hours (standard for payroll and billing). Understanding the underlying base-60 system helps you spot errors — for example, a result showing 8:75 is wrong; it should be 9:15.