A fraction consists of two numbers and the fraction bar:8/12The number above the fraction bar is the numerator: 8The number under the fraction bar is the denominator: 12To get the fraction's value, divide the numerator by the denominator:The value = 8 ÷ 12'Percent (%)' means 'out of one hundred':p% = p 'out of one hundred',p% = p/100 = p ÷ 100.1) Calculate the value of the fraction.2) Multiply this number by 100.3) Add the percent sign % Show
8/12 =8 ÷ 12 ≈0.666666666666667100/100 = 100 ÷ 100 = 100% = 1Multiply a number by the fraction 100/100 |
Percentage | Fraction | Decimal |
---|---|---|
66.67% | 8 / 12 | 0.67 |
Find the Denominator
A percentage is a number out of 100, so we need to make our denominator 100!
If the original denominator is 12, we need to solve for how we can make the denominator 100.
To convert this fraction, we would divide 100 by 12, which gives us 8.33.
Find the Numerator
Now, we multiply 8.33 by 8, our original numerator, which is equal to 66.67
Convert your Fraction to a Percent
Remember, a percentage is any number out of 100. If we can balance 8 / 12 with a new denominator of 100, we can find the percentage of that fraction!
Help your students convert 8 / 12 through further understanding:
- What is the numerator of 8 / 12?
- What is the denominator of 8 / 12?
- When would you use 8 / 12 as a fraction? Give examples
- When would you use 8 / 12 as a decimal? Give examples
- When would you use 8 / 12 as a percentage? Give examples
- What are three other fractions that convert to 66.67%?
- Ask your students to think of three real life examples of when to use fractions vs percentages.
- Which fraction is larger: 8 / 12 or 139 / 142?
It's very common when learning about fractions to want to know how convert a fraction like 8/12 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 8/12 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 8/12 is 12, we could adjust the fraction to make the denominator 100. To do that, we divide 100 by the denominator:
100 ÷ 12 = 8.3333333333333
Once we have that, we can multiple both the numerator and denominator by this multiple:
8 x 8.3333333333333 / 12 x 8.3333333333333 = 66.666666666667 / 100
Now we can see that our fraction is 66.666666666667/100, which means that 8/12 as a percentage is 66.6667%.
We can also work this out in a simpler way by first converting the fraction 8/12 to a decimal. To do that, we simply divide the numerator by the denominator:
8/12 = 0.66666666666667
Once we have the answer to that division, we can multiply the answer by 100 to make it a percentage:
0.66666666666667 x 100 = 66.6667%
And there you have it! Two different ways to convert 8/12 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!
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What is 8/12 as a percentage?. VisualFractions.com. Retrieved from http://visualfractions.com/calculator/fraction-as-percentage/what-is-8-12-as-a-percentage/.
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