What is one third in percentage

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Fraction to percent conversion table
Solution and how to convert 1 / 3 into a percentage
When are fractions useful?
Convert 1 / 3 into a percentage or decimal
Find the Denominator
Find the Numerator
Convert your Fraction to a Percent
Help your students convert 1 / 3 through further understanding:
Fraction to Percentage Calculator
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For example, in order to get a decimal fraction, 3/4 is expanded to 75/100 by multiplying the numerator by 25 and denominator by 25:

3	=	3×25	=	75	× 100% =	75%
4	4×25	100

Other method is to do long division of 3 divided by 4.

Fraction to percent conversion table

Fraction	Percent
1/2	50%
1/3	33.33%
2/3	66.67%
1/4	25%
2/4	50%
3/4	75%
1/5	20%
2/5	40%
3/5	60%
4/5	80%
1/6	16.67%
2/6	33.33%
3/6	50%
4/6	66.67%
5/6	83.33%
1/7	14.285714%
2/7	28.571429%
3/7	42.857143%
4/7	57.142858%
5/7	71.428571%
6/7	85.714286%
1/8	12.5%
2/8	25%
3/8	37.5%
4/8	50%
5/8	62.5%
6/8	75%
7/8	87.5%
1/9	11.111111%
2/9	22.222222%
3/9	33.333333%
4/9	44.444444%
5/9	55.555556%
6/9	66.666667%
7/9	77.777778%
8/9	88.888889%
1/10	10%
2/10	20%
3/10	30%
4/10	40%
5/10	50%
6/10	60%
7/10	70%
8/10	80%
9/10	90%

Percent to fraction conversion ►

Solution and how to convert 1 / 3 into a percentage

Home
Percentages
What is 1/3 as a percentage?

We encourage you to check out our introduction to percentage page for a little recap of what percentage is. You can also learn about fractions in our fractions section of the website. Sometimes, you may want to express a fraction in the form of a percentage, or vice-versa. This page will cover the former case. Luckily for us, this problem only requires a bit of multiplication and division. We recommend that you use a calculator, but solving these problems by hand or in your head is possibly too! Here's how we discovered that 1 / 3 = 33.33% :

Step 1: Divide 1 by 3 to get the number as a decimal. 1 / 3 = 0.33
Step 2: Multiply 0.33 by 100. 0.33 times 100 = 33.33. That's all there is to it!

Note that you can reverse steps 1 and 2 and still come to the same solution. If you multiply 1 by 100 and then divide the result by 3, you will still come to 33.33!

When are fractions useful?

Fractions are commonly used in everyday life. If you are splitting a bill or trying to score a test, you will often describe the problem using fractions. Sometimes, you may want to express the fraction as a percentage.

Convert 1 / 3 into a percentage or decimal

Percentage	Fraction	Decimal
33.33%	1 / 3	0.33

Remember: Converting a fraction to a percentage or decimal are all equivalent numbers. They are all used to represent a relationship between numbers. We can choose how we represent numbers by which style matches the appropriate situation.

Find the Denominator

A percentage is a number out of 100, so we need to make our denominator 100!

If the original denominator is 3, we need to solve for how we can make the denominator 100.

Hint: percentages all have a denominator of 100!

To convert this fraction, we would divide 100 by 3, which gives us 33.33.

Find the Numerator

Now, we multiply 33.33 by 1, our original numerator, which is equal to 33.33

Convert your Fraction to a Percent

Remember, a percentage is any number out of 100. If we can balance 1 / 3 with a new denominator of 100, we can find the percentage of that fraction!

Help your students convert 1 / 3 through further understanding:

What is the numerator of 1 / 3?
What is the denominator of 1 / 3?
When would you use 1 / 3 as a fraction? Give examples
When would you use 1 / 3 as a decimal? Give examples
When would you use 1 / 3 as a percentage? Give examples
What are three other fractions that convert to 33.33%?
Ask your students to think of three real life examples of when to use fractions vs percentages.
Which fraction is larger: 1 / 3 or 147 / 51?

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When you want to show a fraction as a percentage just remember that 100% is a whole amount – in decimal terms it can be shown as the number 1. When you divide one into thirds you split the whole amount (1) into three parts. So when you show 100% as thirds you split 100 into three equal parts and multiply this number by the number of thirds in your fraction.

The bottom number (the denominator) in all thirds fractions is 3.
Imagine you have an apple and you cut it into three pieces – each piece is one third of the apple.
One apple is 100% of the apple – so let’s cut the percentage value for a whole (100) into 3 pieces as well!
100 ÷ 3 = 3.333…
Every top number in the fraction (the numerator) represents one third of 100%.
Multiply the numerator by the percentage value of each piece to show the fraction as a percent.

The fourth item in the list above contains a special value. When you see a decimal amount that has three dots at the end it means that it is a recurring value. This is more easily visualised when you look at dividing the number ten by three.

10 ÷ 3 = 3 with 1 left over – so now divide the 1 that is left by three 1 ÷ 3 = 0.3 with 0.1 left over – so now divide the 0.1 that is left by three 0.1 ÷ 3 = 0.03 with 0.01 left over – so now divide the 0.01 that is left by three

0.01 ÷ 3 = 0.003 with 0.001 left over – so now divide the 0.001 that is left by three…

It's very common when learning about fractions to want to know how convert a fraction like 1/3 into a percentage. In this step-by-step guide, we'll show you how to turn any fraction into a percentage really easily. Let's take a look!

Want to quickly learn or show students how to convert 1/3 to a percentage? Play this very quick and fun video now!

Before we get started in the fraction to percentage conversion, let's go over some very quick fraction basics. Remember that a numerator is the number above the fraction line, and the denominator is the number below the fraction line. We'll use this later in the tutorial.

When we are using percentages, what we are really saying is that the percentage is a fraction of 100. "Percent" means per hundred, and so 50% is the same as saying 50/100 or 5/10 in fraction form.

So, since our denominator in 1/3 is 3, we could adjust the fraction to make the denominator 100. To do that, we divide 100 by the denominator:

100 ÷ 3 = 33.333333333333

Once we have that, we can multiple both the numerator and denominator by this multiple:

1 x 33.333333333333 / 3 x 33.333333333333 = 33.333333333333 / 100

Now we can see that our fraction is 33.333333333333/100, which means that 1/3 as a percentage is 33.3333%.

We can also work this out in a simpler way by first converting the fraction 1/3 to a decimal. To do that, we simply divide the numerator by the denominator:

1/3 = 0.33333333333333

Once we have the answer to that division, we can multiply the answer by 100 to make it a percentage:

0.33333333333333 x 100 = 33.3333%

And there you have it! Two different ways to convert 1/3 to a percentage. Both are pretty straightforward and easy to do, but I personally prefer the convert to decimal method as it takes less steps.

I've seen a lot of students get confused whenever a question comes up about converting a fraction to a percentage, but if you follow the steps laid out here it should be simple. That said, you may still need a calculator for more complicated fractions (and you can always use our calculator in the form below).

If you want to practice, grab yourself a pen, a pad, and a calculator and try to convert a few fractions to a percentage yourself.

Hopefully this tutorial has helped you to understand how to convert a fraction to a percentage. You can now go forth and convert fractions to percentages as much as your little heart desires!