Decimal Hours Calculator
Date & TimePick a conversion: minutes to hours, decimal hours such as 7.75 to hours and minutes, or hours and minutes to a decimal number. Every result also shows industrial minutes, the hundredths of an hour some payroll systems use.
Step by step
90 / 60 = 1.5
- An hour has 60 minutes: 90 / 60 = 1.5 hours.
- As hours and minutes: 1:30 hrs.
- Industrial minutes: 1.5 × 100 = 150.
Once every entry is valid, you’ll see each step of the calculation here.
Formula
- hours
- a time span as a decimal number, such as 7.75
- minutes
- the same span in minutes, such as 465
- industrial minutes
- hundredths of an hour (1 industrial minute = 36 seconds)
How it works
An hour has 60 minutes, so to turn minutes into hours you divide by 60: 90 minutes are 1.5 hours. The digits after the decimal point are parts of an hour, not minutes. That is why 7.75 hours is not 7 hours 75 minutes but 7 hours 45 minutes: 0.75 × 60 = 45.
Decimal hours are what payroll needs, because only a decimal number can be multiplied by an hourly rate. A time clock or a paper time card shows 7:45; your pay stub shows 7.75 hours. At $18 an hour, 7.75 hours pay $139.50, while the wrong reading 7.45 would pay only $134.10. The converter handles both directions, so you can also check a pay stub against your own record.
Some time clocks and payroll systems count in industrial minutes, also called hundredths of an hour or decimal minutes: the hour is split into 100 parts instead of 60. 45 minutes are 75 industrial minutes, 30 minutes are 50. Employers often round clock times to the nearest 5, 6 or 15 minutes; this converter does the exact arithmetic and leaves your employer’s rounding rule aside. To add up a whole week of clock-in and clock-out times, use the time card calculator.
The formula
For the hours and minutes display, the total is split into whole hours and the minutes left over: 465 minutes are 7 × 60 = 420 minutes plus 45 minutes, so 7:45. Seconds are rounded to the nearest minute.
The other way around, divide the minutes by 60 and add them to the hours: 7 hours 30 minutes are 7 + 30 / 60 = 7.5 hours. For seconds, use 3,600 seconds per hour.
Example
Your pay stub says 7.75 hours. How many hours and minutes is that?
- Whole hours: 7. That leaves 0.75 of an hour.
- The rest in minutes: 0.75 × 60 = 45. Result: 7:45 hrs, or 465 min in total.
- In industrial minutes: 7.75 × 100 = 775.
7.75 hours in decimal form is 7:45 hrs in hours and minutes, 465 min in total.
Load this example into the calculatorFrequently asked questions
How do I convert minutes to decimal hours?
Divide the minutes by 60. 15 minutes are 0.25 hours, 30 minutes 0.5, 45 minutes 0.75, 20 minutes about 0.33 and 10 minutes about 0.17. For 8 hours 20 minutes, add 8 + 0.33 = 8.33 hours.
How many hours is 90 minutes, and 120 minutes?
90 minutes are 1.5 hours (90 / 60), that is 1 hour 30 minutes. 120 minutes are exactly 2 hours. 150 minutes are 2.5 hours, 180 minutes 3 hours.
What is 7.75 hours in hours and minutes?
7 hours 45 minutes. Keep the whole number as hours and multiply the decimal part by 60: 0.75 × 60 = 45 minutes. In the same way 8.2 hours are 8 hours 12 minutes and 6.5 hours are 6 hours 30 minutes.
What is the difference between 1.30 hours and 1 hour 30 minutes?
1 hour 30 minutes is 1.5 hours as a decimal. 1.30 hours is a decimal number: 0.30 × 60 = 18 minutes, so 1.30 hours are 1 hour 18 minutes. Mixing them up costs 12 minutes of pay.
What are industrial minutes?
Industrial minutes, also called hundredths of an hour, split the hour into 100 equal parts instead of 60. Each is 36 seconds long. Multiply decimal hours by 100 to get them: 0.75 hours are 75 industrial minutes. Some time clocks use them so totals can go straight into payroll.
Does this calculator round like my employer does?
No, it converts exactly. Many employers round clock times to the nearest 5, 6 or 15 minutes. Federal rules allow that only if the rounding averages out so that employees are paid for all the time they actually worked over time.
- Hour (Wikipedia)
- Minute (Wikipedia)
- 29 CFR § 785.48: Use of time clocks (rounding to the nearest 5 minutes, tenth or quarter of an hour) (Legal Information Institute, Cornell Law School)