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Date & Timetime

Decimal Hours Converter

Decimal hours against hours and minutes. Fifteen minutes is a quarter of an hour, so 8:15 is 8.25 decimal hours, and entering 8.15 on a timesheet underpays by six minutes.

Also called: hours to decimal converter, timesheet converter.

Convert
Hours and minutes
7:45

7:45 is 7.75 in decimal hours, or 465 minutes. Rounded to the nearest quarter hour that is 7.75, and to the nearest tenth 7.8.

Decimal hours
7.75
Total minutes
465
Whole hours
7
Minutes
45
On payroll rounding
Rounded to the nearest quarter hour that is 7.75, and to the nearest tenth 7.8.
How this is calculated
Method and background

How this is calculated

Minutes divide by sixty rather than a hundred. The confusion is entirely because both are written with a separator: 8:15 and 8.15 look alike and differ by six minutes of pay. Payroll systems almost always want decimal hours, and many round to the nearest quarter or tenth of an hour, which is shown here because that rounding decides whether a few minutes are paid.

minutes are sixtieths, not hundredths, which is why 8:15 is 8.25 and not 8.15
m
Minutes

Worked examples

Each of these is asserted on every build. If a change to the engine ever moved one of these answers, the build would fail before the page could print it.

seven and three quarter hours

Value
7.75
Convert
Decimal hours to hours and minutes
Minutes, when converting to decimal
45

Hours and minutes7:45

0.75 x 60 is 45 minutes

Open this example

the other direction agrees

Value
7
Convert
Hours and minutes to decimal
Minutes, when converting to decimal
45

Hours and minutes7:45

boundary: the inverse of the first case

Open this example

Method and limits

What it assumes

  • Exact conversion, with the rounded figures shown separately.

What it deliberately does not model

  • Rounding rules for time worked are set by local employment law and by the employer.

Formula version 1.0.0 · definition 1.0.0 · United States · Report a problem with this calculator

Frequently asked questions

Why is 8 hours 15 minutes not 8.15?
Because minutes are sixtieths. Fifteen minutes is a quarter of an hour, so 8.25. Writing 8.15 records nine minutes rather than fifteen.