1 6 as a percent of 100

Q: What percentage is 1/6 of a circle?

Therefore, 1 6 dfrac{ 1 }{ 6 } 61 of a circle is 16.67% of a circle.

Calculator Use

Convert a fraction to a percent. Convert proper and improper fractions to percentages. This calculator shows the steps and work to convert a fraction to a percentage number.

Two Steps to Convert a Fraction to a Percent

Use division to convert the fraction to a decimal:
1/4 = 1 ÷ 4 = 0.25
Multiply by 100 to get percent value:
0.25 × 100 = 25%

1. Convert the fraction to a decimal number

The fraction bar between the top number (numerator) and the bottom number (denominator) means "divided by." So converting a fraction such as 1/4 to a decimal means you need to solve the math: 1 divided by 4.
1 ÷ 4 = 0.25

2. Multiply by 100 to convert decimal number to percent

0.25 × 100 = 25%

You can reduce a fraction before converting to a decimal but it's not necessary because the answer will be the same. If you need to do the conversion by long division, reducing might make the math easier.

For example, 6/12 = 6 ÷ 12 = 0.50. If you solve this with a calculator then it is easy to get the answer. However, if you solve this by hand or in your head reducing 6/12 = 1/2 may make the problem easier and you may even recognize that 1/2 = 0.50.

Multiplying 0.50 by 100 means that 6/12 = 50%.

You can also see our Long Division Calculator with Decimals to convert a fraction to a decimal and see the work involved in the long division. Just multiply the answer by 100 to get the percentage.

If you would like help reducing fractions to lowest terms see the Simplifying Fractions Calculator.

To convert a percent to a fraction see the Percent to Fraction Calculator.

Solution and how to convert 1 / 6 into a percentage

Fraction to Percent Conversion Summary

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 / 6 = 16.67% :

Step 1: Divide 1 by 6 to get the number as a decimal. 1 / 6 = 0.17
Step 2: Multiply 0.17 by 100. 0.17 times 100 = 16.67. 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 6, you will still come to 16.67!

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 / 6 into a percentage or decimal

Fraction Conversion Table

Percentage	Fraction	Decimal
16.67%	1 / 6	0.17

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 6, 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 6, which gives us 16.67.

Find the Numerator

Now, we multiply 16.67 by 1, our original numerator, which is equal to 16.67

Convert your Fraction to a Percent

Remember, a percentage is any number out of 100. If we can balance 1 / 6 with a new denominator of 100, we can find the percentage of that fraction!

Help your students convert 1 / 6 through further understanding:

What is the numerator of 1 / 6?
What is the denominator of 1 / 6?
When would you use 1 / 6 as a fraction? Give examples
When would you use 1 / 6 as a decimal? Give examples
When would you use 1 / 6 as a percentage? Give examples
What are three other fractions that convert to 16.67%?
Ask your students to think of three real life examples of when to use fractions vs percentages.
Which fraction is larger: 1 / 6 or 113 / 96?

Simple Fraction
Mixed Fraction

Enter fraction:

Percent result:

Calculation:

Percent to fraction converter ►

How to convert fraction to percent

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%