Minutes → decimal (full 0–59 chart)
Quarter-hour rows highlighted in blue. Decimals shown to 4 places where the value isn’t a clean fraction. For payroll, the “Quarter” or “DOL 7-min” rounding mode in the main calculator snaps every result to the nearest highlighted row.
How to read the chart
Find your minute count in the left column of any block, and read the decimal-hour equivalent on the right. The decimal is what you’d enter into a payroll system, an invoice line, or a project tracker.
The four highlighted rows — 15, 30, 45, and 60 minutes — are the only values that produce clean two-decimal-place fractions: 0.25, 0.50, 0.75, 1.00. Every other minute count produces a repeating decimal that gets truncated when payroll software stores it.
Why the decimals don’t terminate
60 has the prime factorization 2² × 3 × 5. Decimal fractions only terminate when the denominator’s prime factors are 2 and/or 5 alone (because we work in base 10). Any minute value whose denominator (after simplification with 60) still contains a 3 will produce a repeating decimal. That’s why 20 minutes = 0.333… (denominator 3) and 6 minutes = 0.1 (denominator simplifies to 10).
For more on the math, read The Time-to-Decimal Formula Explained.
Quarter-hour rounding cheat sheet
When using quarter-hour rounding (or the DOL 7-minute rule), every minute count snaps to one of four values: 0.00, 0.25, 0.50, 0.75. Here’s how the 60-minute span splits:
- 0–7 min → rounds to 0.00
- 8–22 min → rounds to 0.25
- 23–37 min → rounds to 0.50
- 38–52 min → rounds to 0.75
- 53–59 min → rounds up to the next full hour
Practical use cases
Payroll review
Print this chart, post it next to the payroll workstation, and use it to verify totals when an employee disputes a paycheck. Most disputes are caused by misunderstanding how 0.78 hours (47 min) on a paystub translates back to clock time.
Time tracking apps
Most consumer time-tracking apps display decimal hours by default, sometimes without a HH:MM toggle. This chart lets you sanity-check at a glance: 6.42 hours? That’s 6 hours and 25 minutes (0.42 ≈ 25 min).
Spreadsheet validation
When auditing an Excel timesheet, the chart helps you spot rounding inconsistencies. If three of seven days show .00, .25, .50, .75 totals but the other four show oddball decimals, someone changed the rounding rule mid-week.
