But #2/10 #can be written as #20/100# giving
#8/10+(20-:6)/100" "->" "8/10+3/100+ "remainder of "2/100# '~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
So now we have:
#5-:6=8/10+3/100+(2-:6)/100#
But #2/100# can be written as #20/1000# giving
#8/10+3/100+(20-:6)/1000# giving #8/10+3/100+3/1000+(2-:6)/1000# '~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
This process repeats indefinitely so we can write this in decimal form as:
#0.8333.."repeating "3#
Mathematically this is written as
#0.83bar3# or #0.83dot3# depending on your preference.
Notice the bar over the last 3 in #0.83bar3# and the dot over the last 3 in #0.83dot3#
Updated May 04, 2018
By Karie Lapham Fay
People use fractions, mixed numbers and decimals often, without even thinking about it. For instance, when you see a sale price, you might mentally calculate the savings by transforming a percent into a decimal, then into a price. Cooks use fractions when calculating recipes. In fact, much of life involves fractions, which may be expressed as a mixed number – indicating wholes and parts of a whole – or as a decimal. Take 5/6 as an example; then you can generalize the process to other fractions.
Convert the fraction 5/6 to a mixed number by adding the understood number in front of the fraction. A mixed number is any whole number with a fraction portion. If the upper number – the numerator – were bigger than the lower number – the denominator – also known as an improper fraction, you would divide the denominator into the numerator and calculate how many times it goes in, resulting in a whole number. The remainder, what is left after creating your whole number, is then expressed as a fraction over the original denominator. But 5/6 is a proper fraction with a larger denominator. In this instance, there is an understood "0" in front of the fraction. Expressed as a fraction, 5/6 = 0 5/6.
Write 5/6 as the mixed number 0 5/6. Leave the 0 off unless specifically notating a mixed number, however.
Divide the numerator, 5, by the denominator, 6, to express the fraction 5/6 as a decimal. You can do this on either a calculator or using long division by hand. The answer will equal 0.83333 with the number 3 repeating endlessly. This is known as a repeating decimal.
Write the answer as "0.83" with a bar over the 3, representing a repeating number. Alternatively, in some cases you may round the number down or up – although this will be less accurate – or write the 3 out to a given decimal place. For instance, rounded down, the answer is 0.83 or even 0.8; written to three decimal places, the answer is 0.833.
Use the rules for converting a fraction to a decimal by finding a number that, when multiplied by the denominator, results in a multiple of 100. Multiply both the numerator and denominator by this number, then write down the numerator, inserting a decimal one space from the right for each zero in the denominator. If the number will not evenly divide into 10, 100, 1,000 or higher, as in 5/6, approximate the number to multiply with. For instance, use 17 to multiply 5/6. The result is 85, and there are two zeros in 100. So, the answer is 0.85 – fairly close to the actual answer. Notate properly to answer.
Here you can find 5/6 as a decimal.
We also have useful information regarding 5/6 in decimal form. 🙂
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Simply the Best Fraction to Decimal Converter! Click To TweetIf you have been searching for 5 over 6 as a decimal, then you are right here, too.The terms used in this article about 5/6 as decimal are explained in detail on our home page; check it out if anything remains unclear.
5/6 in Decimal Form
5/6 in decimal notation has unlimited decimal places. That is, 5/6 as decimal is a non-terminating, repeating decimal. The repeating pattern or sequence, known as repetend or reptend of 5/6 as decimal, can be written with a vinculum, that is overlined, as an ellipsis using three dots …, in parentheses (), or with or with a dot above the digits of the repetend. Thus:
- 5/6 as a decimal = 0.83
- 5/6 in decimal form =
- Five sixths as a decimal = 0.8(3)
- 5 over 6 as a decimal = 0.83…
Now that you know what is 5/6 as a decimal you can learn how to change 5/6 to a decimal number in the following section.
In addition, you can read up on the properties of 5/6.
Convert 5/6 to Decimal
To convert 5/6 to decimal you can use the long division method explained in our article fraction to decimal, which you can find in the header menu.
Or you can divide the nominator 5 by the denominator 6 using a calculator.
If you like, use our automatic calculator above. Just enter the fraction with a slash, e.g. 5/6.
If the result includes a repeating sequence, then it will be denoted in ().
Similar conversions in this category include, for example:
- 10/6 as a decimal
- 11/6 as a decimal
- 12/6 as a decimal
Ahead is more information on 5/6 written in base 10 numeral system.
What is 5/6 as a Decimal?
You already know the answer to what is 5/6 as a decimal. Five sixths as a decimal equals 0.8(3)
- 5/6 is a simple fraction
- 5 is the nominator, above the slash
- 6 is the denominator, below the slash
- 5/6 is a proper fraction
Instead of a slash, the division symbol ÷, known as obelus, can be used to denote a fraction: For example: 5÷6 in decimal or 5÷6 as decimal.
Conclusion
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Note that you can find many fraction to decimal conversions using the search form in the sidebar.
For example, you can type 5 over 6 as a decimal. Then hit the go button.
Alternatively, you may look up terms like converting 5/6 to decimal, or 5/6 as a number in decimal form, just to name a few more possibilities you have when using our search form.
For comments and questions use the form at the bottom of this page, or get in touch by email.Thanks for visiting us.
Converting 5/6 to a decimal is quite possibly one of the easiest calculations you can make. In this (very short) guide, we'll show you how to turn any fraction into a decimal in 3 seconds of less! Here we go!
Want to quickly learn or show students how to convert 5/6 to a decimal? Play this very quick and fun video now!
First things first, if you don't know what a numerator and a denominator are in a fraction, we need to recap that:
5 (numerator) / 6 (denominator)
Here's the little secret you can use to instantly transform any fraction to a decimal: Simply divide the numerator by the denominator:
= 5/6
= 5 ÷ 6
= 0.83333333333333
That's literally all there is to it! 5/6 as a decimal is 0.83333333333333.
I wish I had more to tell you about converting a fraction into a decimal but it really is that simple and there's nothing more to say about it.
If you want to practice, grab yourself a pen and a pad and try to calculate some fractions to decimal format yourself. If you're really feeling lazy you can use our calculator below instead!
Why would you want to convert 5/6 to a decimal?
This is a great question. We have lots of calculations on this site about converting a fraction into a decimal but why would you want or need to do that in the first place?
Well, first of all it's just a good way to represent a fraction in a better way that allows you to do common arithmetic with them (like addition, subtration, division and multiplication).
In real life, we mostly deal with decimals (like currency, for example) and since our brains are taught from a young age to understand and compare decimals more often than they are fractions, it's easier to understand and compare fractions if they are converted to a decimal first!
Here's a little real life example of converting a fraction to a decimal when using quantities. Let's say you're cooking and you can usually see fractionally how much of an ingredient is left in a pack. However, electronic scales measure weight in decimals and not as a fraction of the ingredient left. This makes converting between fractions and decimals a useful skill in cooking.
Hopefully this tutorial has helped you to understand how to convert a fraction to a decimal number. You can now go forth and convert fractions to decimal as much as your little heart desires!
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