Calculator

"Math Salamanders Free Math Sheets"

Welcome to the Math Salamanders support page about
how to Convert Time to Decimal.

Here you will find information and support about
how to convert a range of times in hours, minutes and seconds into decimals.

You will also find help on converting a decimal back into a time!

How to Convert Time to Decimal

Here you will find some simple information and advice about how to convert a time into a fraction or a decimal.

Convert Time to Decimal (or Fraction) Calculator

If you want to convert a time into a fraction or decimal, please use the calculator below.

Type in your time - can either be in just hours and minutes, or it can be in hours, minutes and seconds.

The time should be in the form HH:MM or HH:MM:SS, e.g. 14:37 or 2:15:58.

Next click the Convert button to convert it into both a fraction in its simplest form, and also a decimal.

The answer will be displayed as a fraction and also as a decimal, with the hours before the decimal point.

If you need help on how exactly to convert time to decimal, there is more help further down!

How to Convert a Time into a Decimal

When converting time into a decimal, follow the steps below.

Step 1) The hour becomes the whole number part of the decimal.

Step 2) Take the number of minutes and multiply them by 60, then add on the number of seconds

Step 3) Divide the number from Step 2 by 3600. This is the decimal part.

Step 4) All you need to do now is to put your whole number part (the hour) with the decimal part from Step 3.

You should now have converted your time into a decimal!

Examples

Example 1: Convert 3:35 (3 hours 35 minutes) into a decimal.

Step 1) The hour is 3, so the whole number part is 3.

Step 2) The minutes are 35, so we multiply them by 60 - this gives us 2100.

There are no seconds to add on.

Step 3) We now divide this number by 3600 which gives us 0.5833333.

Step 4) Our final answer then is 3.5833333

Example 2: Convert 16:28:45 (16 hours, 28 minutes and 45 seconds) into a decimal.

Step 1) The hour is 16, so the whole number part is 16.

Step 2) The minutes are 28, so we multiply this by 60 and add on the seconds.

This gives us (28 x 60) + 45 = 1725

Step 3) We divide the answer from Step 2 by 3600.

1725 ÷ 3600 = 0.4791666

Step 4) Our final answer is 16.4791666

Decimal to Time Converter

If you want to convert a decimal into a time, please use the calculator below.

Type in your decimal time in hours, e.g. 3.45 or 18.9

Next click the Convert button to convert it into a proper time.

The answer will be displayed as a time, rounded to the nearest second.

It will be shown as HH:MM:SS

If you need help on how exactly to convert a decimal to a time, there is more help further down!

How to Convert Decimal to Time

When converting decimal time into a time, follow the steps below.

Step 1) The number before the decimal point become the number of hours.

Step 2) Take the decimal part of the number after the point and multiply it by 3600.

Step 3) Divide the answer from Step 2 by 60 and round it down - this gives you the number of minutes past.

Step 4) If you take the number from Step 2 and subtract the number of minutes multipled by 60, then you should be left with the number of seconds. You may need to round this to the nearest whole number!

You should now have converted your decimal into a time!

Examples

Example 1: Convert 8.75 hours into a time.

Step 1) The number of hours is the part before the decimal point which is 8.

Step 2) We multiply the decimal part after the point by 3600.

So 0.75 x 3600 = 2700

Step 3) We divide the answer from Step 2 by 60 and round it down.

2700 ÷ 60 = 45 (this is already a whole number and does not need rounding!)

So we have 45 minutes past.

Step 4) We subtract 45 x 60 from 2700 to give us the number of seconds (in this case there are zero seconds!)

So the final time is 8:45:00 (or just 8:45).

Example 2: Convert 14.681 hours into a time.

Step 1) The number of hours is the whole number part which is 14.

Step 2) We multiply the decimal part by 3600.

So 0.681 x 3600 = 2451.6

Step 3) We divide the answer from Step 2 by 60 and round it down.

2451.6 ÷ 60 = 40.86.

Rounding this down gives us 40 minutes.

Step 4) We subtract 40x60 from 2451.6. This gives us:

2451.6 - (40x60) = 51.6.

So we have 51.6 seconds. Rounded to the nearest second is 52 seconds.

Our final answer is 14:40:52 (14 hours, 40 minutes and 52 seconds)

Other Useful Pages...

Military Time Conversion Chart (24 hour conversion)

The following web information page is all about converting standard to military time, and military to standard time.

You will find an online chart on this page, as well as some handy printable charts.

If you want to know how to convert in and out of military time yourself, this is all explained too!

Using this page will help you to:

- convert military times to standard times;
- convert standard times to military times;
- understand how to convert to and from military times.

You can also try our Military Time Converter which is an online tool to convert to and from military time.

We hope you have found this webpage on how to convert time to decimal useful!

Math-Salamanders.com

The Math Salamanders hope you enjoy using these free printable Math worksheets and all our other Math games and resources.

We welcome any comments about our site or worksheets on the Facebook comments box at the bottom of every page.

Search here!

Take a look in our brand new shop where you can find a range of our latest e-books to purchase.

- Online Times Table Practice
- Online + and - Practice
- Times Table Worksheets
- Geometry Sheets
- Fraction Sheets
- Money Sheets
- Math Games
- Fun Math Puzzles & Activities
- Math Help Pages

Have a look at some of our most popular pages to see different Math activities and ideas you could use with your child

- List of Geometric Shapes
- Equivalent Fractions
- Printable Shapes
- 3d Geometric Shapes
- Perimeter Worksheets

If you are a regular user of our site and appreciate what we do, please consider making a small donation to help us with our costs.

Get a free sample copy of our Math Salamanders Dice Games book with each donation!

Looking for some cool math certificates to hand out?

A certificate is a great way to praise achievement in math learning.

Check out our printable math certificate collection!

ABCmouse is a subscription based online education program designed for children aged from 2 to 8.

Fun learning activities based around Reading, Math, Science and Art.

Winner of several curriculum awards, including Mom's Choice Awards (Gold) and Parents Choice Gold Award.

Try it free for 30 days!

Looking for a new direction in your life in 2017?

Want an extra income you can earn from home with proven results?

Got a hobby you want to share?

Expand your horizons with SBI!

I used this to develop this site in 2010, and have never looked back!

Click here for my story!

## New! Comments

Have your say about the Math resources on this page! Leave me a comment in the box below.