Minutes to decimal hours chart
Every minute from 1 to 60 as decimal hours, the way payroll and time card systems want it: the usual two place figure, the exact fraction, and the same minute rounded to the nearest tenth and quarter of an hour. Below the chart: how to convert minutes to decimal for payroll by hand, how to read a total such as 38:45, what the three rounding conventions do to a week's pay, and the US rule on rounding.
In short: Decimal hours are minutes divided by 60: 15 minutes is 0.25, 30 is 0.50, 45 is 0.75 and 50 is 0.83. Add the whole hours back on, so a time card total of 38:45 is 38.75 hours. The chart below gives every minute from 1 to 60.
Minutes to decimal hours, 1 to 60
The decimal hours column is what nearly every payroll chart prints, including the ones from state labour departments and payroll providers: minutes divided by 60, rounded to hundredths of an hour. Exact gives four places for anyone who wants to avoid rounding twice. The last two columns show the same minute after rounding to the nearest tenth of an hour (6 minute steps) and the nearest quarter hour (15 minute steps), which are the other two conventions time card systems use. Ties round up here; some systems round them down, so check yours.
| Minutes | Decimal hours | Exact | Nearest tenth | Nearest quarter |
|---|---|---|---|---|
| 1 | 0.02 | 0.0167 | 0.00 | 0.00 |
| 2 | 0.03 | 0.0333 | 0.00 | 0.00 |
| 3 | 0.05 | 0.0500 | 0.10 | 0.00 |
| 4 | 0.07 | 0.0667 | 0.10 | 0.00 |
| 5 | 0.08 | 0.0833 | 0.10 | 0.00 |
| 6 | 0.10 | 0.1000 | 0.10 | 0.00 |
| 7 | 0.12 | 0.1167 | 0.10 | 0.00 |
| 8 | 0.13 | 0.1333 | 0.10 | 0.25 |
| 9 | 0.15 | 0.1500 | 0.20 | 0.25 |
| 10 | 0.17 | 0.1667 | 0.20 | 0.25 |
| 11 | 0.18 | 0.1833 | 0.20 | 0.25 |
| 12 | 0.20 | 0.2000 | 0.20 | 0.25 |
| 13 | 0.22 | 0.2167 | 0.20 | 0.25 |
| 14 | 0.23 | 0.2333 | 0.20 | 0.25 |
| 15 | 0.25 | 0.2500 | 0.30 | 0.25 |
| 16 | 0.27 | 0.2667 | 0.30 | 0.25 |
| 17 | 0.28 | 0.2833 | 0.30 | 0.25 |
| 18 | 0.30 | 0.3000 | 0.30 | 0.25 |
| 19 | 0.32 | 0.3167 | 0.30 | 0.25 |
| 20 | 0.33 | 0.3333 | 0.30 | 0.25 |
| 21 | 0.35 | 0.3500 | 0.40 | 0.25 |
| 22 | 0.37 | 0.3667 | 0.40 | 0.25 |
| 23 | 0.38 | 0.3833 | 0.40 | 0.50 |
| 24 | 0.40 | 0.4000 | 0.40 | 0.50 |
| 25 | 0.42 | 0.4167 | 0.40 | 0.50 |
| 26 | 0.43 | 0.4333 | 0.40 | 0.50 |
| 27 | 0.45 | 0.4500 | 0.50 | 0.50 |
| 28 | 0.47 | 0.4667 | 0.50 | 0.50 |
| 29 | 0.48 | 0.4833 | 0.50 | 0.50 |
| 30 | 0.50 | 0.5000 | 0.50 | 0.50 |
| 31 | 0.52 | 0.5167 | 0.50 | 0.50 |
| 32 | 0.53 | 0.5333 | 0.50 | 0.50 |
| 33 | 0.55 | 0.5500 | 0.60 | 0.50 |
| 34 | 0.57 | 0.5667 | 0.60 | 0.50 |
| 35 | 0.58 | 0.5833 | 0.60 | 0.50 |
| 36 | 0.60 | 0.6000 | 0.60 | 0.50 |
| 37 | 0.62 | 0.6167 | 0.60 | 0.50 |
| 38 | 0.63 | 0.6333 | 0.60 | 0.75 |
| 39 | 0.65 | 0.6500 | 0.70 | 0.75 |
| 40 | 0.67 | 0.6667 | 0.70 | 0.75 |
| 41 | 0.68 | 0.6833 | 0.70 | 0.75 |
| 42 | 0.70 | 0.7000 | 0.70 | 0.75 |
| 43 | 0.72 | 0.7167 | 0.70 | 0.75 |
| 44 | 0.73 | 0.7333 | 0.70 | 0.75 |
| 45 | 0.75 | 0.7500 | 0.80 | 0.75 |
| 46 | 0.77 | 0.7667 | 0.80 | 0.75 |
| 47 | 0.78 | 0.7833 | 0.80 | 0.75 |
| 48 | 0.80 | 0.8000 | 0.80 | 0.75 |
| 49 | 0.82 | 0.8167 | 0.80 | 0.75 |
| 50 | 0.83 | 0.8333 | 0.80 | 0.75 |
| 51 | 0.85 | 0.8500 | 0.90 | 0.75 |
| 52 | 0.87 | 0.8667 | 0.90 | 0.75 |
| 53 | 0.88 | 0.8833 | 0.90 | 1.00 |
| 54 | 0.90 | 0.9000 | 0.90 | 1.00 |
| 55 | 0.92 | 0.9167 | 0.90 | 1.00 |
| 56 | 0.93 | 0.9333 | 0.90 | 1.00 |
| 57 | 0.95 | 0.9500 | 1.00 | 1.00 |
| 58 | 0.97 | 0.9667 | 1.00 | 1.00 |
| 59 | 0.98 | 0.9833 | 1.00 | 1.00 |
| 60 | 1.00 | 1.0000 | 1.00 | 1.00 |
Read the chart in both directions. 0.83 on a payslip is 50 minutes, and a system that shows 7.5 hours means 7 hours 30 minutes, not 7 hours 50. A decimal that is not on the chart, such as 0.34, sits between two minutes (20 is 0.33 and 21 is 0.35) and usually means the system kept more places than it shows.
How to convert minutes to decimal for payroll
- Split the time into whole hours and minutes: 38:45 is 38 hours and 45 minutes.
- Divide the minutes by 60 and round to two places: 45 divided by 60 is 0.75. For 50 minutes it is 0.8333, written 0.83.
- Add the hours back on: 38 plus 0.75 is 38.75 hours. Multiply by the hourly rate for the pay: 38.75 hours at $18.50 is $716.88.
The commonest timecard conversion mistake is reading the minutes as if they were already decimals: 8:30 on a time clock is 8.50 hours, but 8.30 hours is 8 hours 18 minutes. If a form does not say which it wants, hours and minutes carry a colon and decimals carry a point, and it is worth writing 8.5 rather than 8.50 so nobody reads it as a time. The work hours calculator adds up a week from start and finish times and shows the total both ways, and the guide on how to calculate hours worked walks through breaks, overnight shifts and a full week by hand.
Hundredths, tenths and quarter hours: the three conventions
Time card systems do not all keep the exact minute. Three conventions are common, and the same clock time comes out differently under each:
- Hundredths (two decimal places, the chart's main column) keep the exact minute to within a third of a minute. 8:07 is 8.12.
- Tenths round the time to the nearest 6 minutes, so a decimal hour has one place: 8:07 becomes 8:06, which is 8.1.
- Quarter hours round to the nearest 15 minutes, so the decimals are only ever .00, .25, .50 or .75: 8:07 becomes 8:00, and 8:08 becomes 8:15.
| Time worked | Hundredths | Tenths | Quarter hours |
|---|---|---|---|
| 8:07 | 8.12 | 8.10 | 8.00 |
| 8:08 | 8.13 | 8.10 | 8.25 |
| 8:09 | 8.15 | 8.20 | 8.25 |
| 8:22 | 8.37 | 8.40 | 8.25 |
| 8:23 | 8.38 | 8.40 | 8.50 |
| 8:37 | 8.62 | 8.60 | 8.50 |
| 8:38 | 8.63 | 8.60 | 8.75 |
| 8:52 | 8.87 | 8.90 | 8.75 |
| 8:53 | 8.88 | 8.90 | 9.00 |
In the United States, 29 CFR 785.48 describes the practice of recording starting and stopping times to the nearest 5 minutes, or to the nearest one-tenth or quarter of an hour, and says it will be accepted for enforcement purposes provided it is used in a way that does not, over a period of time, fail to compensate employees properly for all the time they have actually worked. So quarter hour rounding is allowed when it rounds both ways; rounding a 7 minute late start up to 15 but a 7 minute late finish down to 0 is not. Some states add their own rules, and a contract can promise exact minutes. The chart's two place column needs no such care, because it keeps the minute.
Worked example: one week on a time card, three ways
Here is a week with an unpaid lunch each day, at $18.50 an hour. Hours worked is the time on the clock minus the break; the last three columns convert it under each convention.
| Day | Start | Finish | Break (min) | Hours worked | Hundredths | Tenths | Quarter |
|---|---|---|---|---|---|---|---|
| Monday | 8:30 | 17:12 | 30 | 8:12 | 8.20 | 8.20 | 8.25 |
| Tuesday | 8:58 | 17:31 | 30 | 8:03 | 8.05 | 8.10 | 8.00 |
| Wednesday | 9:04 | 18:20 | 45 | 8:31 | 8.52 | 8.50 | 8.50 |
| Thursday | 8:30 | 16:47 | 30 | 7:47 | 7.78 | 7.80 | 7.75 |
| Friday | 8:45 | 15:38 | 30 | 6:23 | 6.38 | 6.40 | 6.50 |
| Week | 165 | 38:56 | 38.93 | 39.00 | 39.00 |
The exact total is 38:56, which is 38.93 hours and $720.27 at $18.50. Rounding each day to the nearest tenth and adding up gives 39.00 hours ($721.50); rounding each day to the quarter hour gives 39.00 hours ($721.50). Rounding the weekly total once instead gives 38.90 to the tenth and 39.00 to the quarter hour. The differences are small in one week, a few minutes either way, which is the point of the regulation: over many weeks they must average out. Open this week in the work hours calculator to change a time and watch the totals move, or read how to calculate overtime pay for what happens past 40 hours.
Decimal hours back to minutes
Going the other way, multiply the decimal part by 60. Two place decimals do not always land on a whole minute, so the chart gives the exact minutes and the minute a time card would show. 0.83 is 49.8 minutes, read as 50; 0.33 is 19.8, read as 20.
| Decimal hours | Exact minutes | Minutes shown |
|---|---|---|
| 0.05 | 3 | 3 |
| 0.10 | 6 | 6 |
| 0.15 | 9 | 9 |
| 0.20 | 12 | 12 |
| 0.25 | 15 | 15 |
| 0.30 | 18 | 18 |
| 0.33 | 19.8 | 20 |
| 0.40 | 24 | 24 |
| 0.50 | 30 | 30 |
| 0.60 | 36 | 36 |
| 0.67 | 40.2 | 40 |
| 0.70 | 42 | 42 |
| 0.75 | 45 | 45 |
| 0.80 | 48 | 48 |
| 0.90 | 54 | 54 |
| 0.95 | 57 | 57 |
Two conversions come up constantly on timesheets. 15 minutes on a timesheet is 0.25, and 7.5 hours is 7:30. If you are checking a payslip, the hourly to salary calculator turns the rate into weekly and annual pay, and the military time converter counts the hours between two 24-hour clock times, in hours and minutes and in decimals.
Questions people ask
How do you convert minutes to decimal hours?
Divide the minutes by 60 and round to two places: 45 minutes is 45 divided by 60, which is 0.75, and 50 minutes is 0.8333, written 0.83. Add the whole hours back on, so a time card total of 38:45 is 38.75 hours. The chart on this page gives every minute from 1 to 60.
What is 15 minutes on a timesheet in decimal?
0.25 hours. A quarter of an hour is a quarter of 1.00. The other quarter hours are 30 minutes, 0.50, and 45 minutes, 0.75, which is why timesheets that round to the quarter hour only ever show .00, .25, .50 and .75.
Why does my payroll system show 0.83 for 50 minutes and not 0.50?
Because decimal hours are hundredths of an hour, not minutes. 50 minutes is 50 sixtieths of an hour, which is 0.8333 hours, rounded to 0.83. The digits after the point only line up with minutes at 0 and 60, so 8.50 hours is 8 hours 30 minutes and 8.30 hours is 8 hours 18 minutes.
Is it legal to round time to the nearest quarter hour?
In the United States, the federal regulation 29 CFR 785.48 says that recording start and stop times to the nearest 5 minutes, or the nearest tenth or quarter of an hour, is accepted for enforcement purposes provided it does not, over a period of time, fail to pay employees for all the time they actually worked. Rounding has to go both ways, never only in the employer's favour, and state rules can be stricter. Check the rule that applies to you.
Should I round each day or the weekly total?
Follow what your timesheet says, and do the same thing every week. Rounding each day and adding up can give a different total from adding exact minutes and rounding once, usually by a few hundredths of an hour; the worked example on this page shows both for the same week. Keeping exact minutes and converting the total once is the most accurate.