*December 15, 2016*

# Hours & Minutes Versus Decimal Time

Are you interested in how time is properly converted from hours and minutes to decimal format for payroll? We'll review and compare these two common formats for viewing and expressing time.

The hours & minutes format uses 'base 60' to represent time. By this we mean that time is expressed in 60 one minute units. So when time is increased by one minute at 3:59, we don't write 3:60. Instead, we increase the hours by one and reset the minutes to zero and write 4:00. We express hours (60 minutes) and portions of an hour (minutes) with the format HH:MM. So whenever we see time expressed with a colon (:) we know that we are seeing time in the hours and minutes format.

Let's look at a simple example: '7:30' is read as 'seven hours and 30 minutes'. When we use this common expression of time we understand that it means seven periods of 60 minutes (7 hours) and one period of 30 minutes (30/60th of an hour).

The decimal hours format uses 'base 10' to represent time as common decimal numbers. When we use decimal numbers each place in a number ranges from 0-9.

Using our 7:30 example above, we intuitively know that '30 minutes' is 'half an hour.' In decimal format one-half is expressed as '.5'. So in decimal format this is expressed as 7.5 hours (7 and a half hours). When thought of in this way, it is not hard to understand that 7:30 (hours and minutes) = 7.5 decimal hours.

Expressing time in decimal format is essential for payroll because wages must be calculated using standard decimal numbers. For example, how much have I earned if I make $10 per hour and work 7:30? I must convert 30 minutes to .5 decimal time before I multiply by my hourly wage. $10 X 7.5 hours = $75.

Some time conversions (like the one above) are intuitive. For instance, we know that:

The chart above simply converts minutes from base 60 to base 10. Using our example of 56 minutes, the equation looks like this;

56 ??

___ = ___

60 10

In algebra we were taught to solve this type of equation by cross multiplying. 56 X 10 and then divided by 60 = .93333333. The repeating '3' is rounded so that 56 minutes (:56) is expressed in decimal format as .93 hours.

Our Free Time Card Calculator allows you to enter employee start, stop and break times in Hours and Minutes format. The calculator then computes the daily and weekly time totals in decimal format.

Our Virtual TimeClock software impartially records employee start, stop and break times in real-time. The reporting features in Virtual TimeClock enable you to easily view reports either as Hours and Minutes for timecard review or Decimal Hours format for payroll.

Virtual TimeClock can also track overtime, breaks & lunches, projects and more. You can even access timecard data collected from multiple computers or location with our Virtual TimeClock Network edition. You can download a free trial of Virtual TimeClock without any cost or obligation.

**Hours & Minutes**The hours & minutes format uses 'base 60' to represent time. By this we mean that time is expressed in 60 one minute units. So when time is increased by one minute at 3:59, we don't write 3:60. Instead, we increase the hours by one and reset the minutes to zero and write 4:00. We express hours (60 minutes) and portions of an hour (minutes) with the format HH:MM. So whenever we see time expressed with a colon (:) we know that we are seeing time in the hours and minutes format.

Let's look at a simple example: '7:30' is read as 'seven hours and 30 minutes'. When we use this common expression of time we understand that it means seven periods of 60 minutes (7 hours) and one period of 30 minutes (30/60th of an hour).

**Decimal Hours**The decimal hours format uses 'base 10' to represent time as common decimal numbers. When we use decimal numbers each place in a number ranges from 0-9.

Using our 7:30 example above, we intuitively know that '30 minutes' is 'half an hour.' In decimal format one-half is expressed as '.5'. So in decimal format this is expressed as 7.5 hours (7 and a half hours). When thought of in this way, it is not hard to understand that 7:30 (hours and minutes) = 7.5 decimal hours.

**Hours & Payroll**Expressing time in decimal format is essential for payroll because wages must be calculated using standard decimal numbers. For example, how much have I earned if I make $10 per hour and work 7:30? I must convert 30 minutes to .5 decimal time before I multiply by my hourly wage. $10 X 7.5 hours = $75.

**Converting Employee Hours**Some time conversions (like the one above) are intuitive. For instance, we know that:

- :15 minutes = quarter hour = .25 hours
- :30 minutes = half hour = .5 hours
- :45 minutes = three-quarters hour = .75 hours

The chart above simply converts minutes from base 60 to base 10. Using our example of 56 minutes, the equation looks like this;

56 ??

___ = ___

60 10

In algebra we were taught to solve this type of equation by cross multiplying. 56 X 10 and then divided by 60 = .93333333. The repeating '3' is rounded so that 56 minutes (:56) is expressed in decimal format as .93 hours.

**Converting Time to Decimal Hours**Our Free Time Card Calculator allows you to enter employee start, stop and break times in Hours and Minutes format. The calculator then computes the daily and weekly time totals in decimal format.

Our Virtual TimeClock software impartially records employee start, stop and break times in real-time. The reporting features in Virtual TimeClock enable you to easily view reports either as Hours and Minutes for timecard review or Decimal Hours format for payroll.

Virtual TimeClock can also track overtime, breaks & lunches, projects and more. You can even access timecard data collected from multiple computers or location with our Virtual TimeClock Network edition. You can download a free trial of Virtual TimeClock without any cost or obligation.