Time to Decimal Calculator

Time to decimal calculator at a glance#

How do you convert time to decimal hours?#

To convert time to decimal hours, take the minutes and divide by 60, then add them to the whole hours. If seconds are involved, divide them by 3,600 and add those too. By inputting hours, minutes, and seconds into the calculator above, you can get the time in decimal hours, decimal minutes, and total seconds.

What is 2 hours and 45 minutes as a decimal?#

2 hours and 45 minutes convert to 2.75 hours in decimal form. When you divide 45 minutes by 60, you get 0.75, and 2 added to 0.75 equals 2.75. The same time is 165 minutes or 9,900 seconds.

What is 20 minutes in decimal?#

20 minutes is 0.3333 hours, which typically rounds to 0.33. Dividing 20 by 60 gives a third, a value that never terminates as a decimal, explaining why the calculator displays four decimal places.

What decimal hours are#

Clock time measures minutes as sixtieths of an hour, while decimal hours express the same period in tenths and hundredths. For instance, 45 minutes are 45 sixtieths, or three quarters, or 0.75 hours in decimal form. The duration remains constant, only the notation changes.

The fraction to decimal calculator does the same division for any fraction, such as 45/60.

These formats often appear similar, leading to errors. The format 2:45 signifies 2 hours and 45 minutes, but 2.45 hours convert to 2 hours plus 45 hundredths, equal to 27 minutes. Confusing these on a timesheet shortchanges 2 hours and 45 minutes by 18 minutes.

The example provided illustrates a task taking 2 hours and 45 minutes.

How to convert time to decimal by hand#

The formula for conversion is: decimal hours = hours + minutes ÷ 60 + seconds ÷ 3,600.

• Retain the full hours: 2.
• Calculate the minutes by dividing by 60: 45 ÷ 60 = 0.75.
• Then, combine them: 2 + 0.75 = 2.75 hours.

If seconds are involved, add an additional step. With 2 hours, 45 minutes, and 45 seconds, divide the seconds by 3,600: 45 ÷ 3,600 = 0.0125 hours. Thus, the total sums to 2.7625 hours, which matches the calculator's output for these inputs, plus 165.75 minutes and 9,945 seconds.

Certain minute values give exact results, while others do not. Minutes in multiples of 3 provide precise answers with two decimal places or fewer: 15 minutes is 0.25, 6 minutes is 0.1, and 12 minutes is 0.2. Other values repeat indefinitely, like 20 minutes at 0.3333 or 50 minutes at 0.8333, necessitating rounding.

Decimal minutes and seconds#

The calculator can also present the time in decimal minutes and total seconds. To find decimal minutes, multiply the hours by 60, add the minutes, and include the seconds divided by 60. In the case of 2 hours, 45 minutes, 45 seconds, this gives 120 + 45 + 0.75, equaling 165.75 minutes. To convert to seconds, multiply hours by 3,600 and minutes by 60, then add the seconds: 7,200 + 2,700 + 45 = 9,945 seconds.

Converting decimal hours back to hours and minutes#

To reverse the conversion, retain the whole hours and multiply the decimal fraction by 60. For instance, 2.75 hours is 2 hours and multiplying 0.75 by 60 gives 45 minutes. Another example: 6.33 hours becomes 6 hours and 0.33 multiplied by 60 gives 19.8 minutes, approximately 6 hours and 20 minutes. 7.4 hours is 7 hours and 24 minutes.

If the resulting minutes include a decimal, further multiply that part by 60 to find seconds. For instance, 19.8 minutes become 19 minutes and multiplying 0.8 by 60 gives 48 seconds.

Decimal hours on timesheets and invoices#

Decimal hours are used for payroll and billing because they allow for direct multiplication by a rate. A task of 2 hours and 45 minutes invoiced at $40 per hour results in 2.75 × $40 = $110. Simply multiplying the standard clock reading 2:45 by 40 doesn't hold meaning.

To turn an hourly rate into weekly or yearly pay, use the salary calculator.

Rounding requires a consistent approach. The Labor Department accepts rounding to the nearest 5 minutes, tenth or quarter hour, as long as over time employees are paid for all time actually worked. A tenth of an hour equals 6 minutes and a quarter equals 15 minutes, which is why many time clocks are set to these increments.

Rounding each entry to two decimal places can introduce errors over multiple entries. Consider five entries of 20 minutes: they total 1 hour and 40 minutes, which is 1.6667 hours. If first rounded to 0.33 each, they sum to 1.65 hours, resulting in a 1 minute deficit. It is better to first sum the minutes and convert once at the end.

To get the hours in the first place, the hours calculator measures one shift from its start and end times, and the work hours calculator totals a week with breaks, in both clock time and decimal hours.

Where time to decimal conversion helps#

• Completing a timesheet or payroll system that requires decimal hours.
• Charging clients hourly for work tracked in hours and minutes.
• Inputting time into a spreadsheet where decimal hours allow for direct addition and multiplication.
• Calculating pay or cost per hour from a time and a total.

Minutes to decimal hours chart#

Every minute from 1 to 60 as a decimal of an hour, rounded to two places. Add the whole hours in front, so 2 hours 20 minutes is 2.33. The calculator above shows up to four places.

Sources#

• 29 CFR 785.48, Use of time clocks (rounding to 5 minutes, a tenth or a quarter of an hour), Cornell Legal Information Institute
• NIST Guide to the SI, Chapter 5: Units Outside the SI (1 h = 60 min = 3600 s)

Frequently asked questions#

What is 2 hours and 20 minutes in decimal?#

2 hours and 20 minutes convert to 2.3333 hours, or 2.33 when rounded to two places. Division of 20 by 60 gives 0.3333.

What is 3 hours and 25 minutes as a decimal?#

3 hours and 25 minutes is 3.4167 hours or 3.42 when rounded. Dividing 25 by 60 gives 0.4167.

What is 1 hour 50 minutes in decimal?#

1 hour and 50 minutes convert to 1.8333 hours or 1.83 when rounded. Dividing 50 by 60 gives 0.8333.

How do I convert decimal hours back to hours and minutes?#

Retain the whole number for hours and multiply the remaining decimal by 60 for minutes. For example, 4.25 hours becomes 4 hours and 15 minutes, while 2.75 hours converts to 2 hours and 45 minutes.

Is 2.45 hours the same as 2 hours 45 minutes?#

No, 2.45 hours is equivalent to 2 hours and 27 minutes because 0.45 multiplied by 60 equals 27. On the other hand, 2 hours and 45 minutes convert to 2.75 hours.

How many decimal places should I use for hours?#

Two decimal places are common for payroll and invoices. However, you should maintain four, as the calculator does, when summing multiple entries, and only round the total once at the end.