It’s very common when learning about fractions to want to know how convert a fraction like 67/100 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!
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.
You are viewing: What Is 67 Of 100
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.
Note: the denominator is already 100 in this case, which means that the numerator is already the percentage for this fraction. Therefore the fraction 67/100 as a percentage is 67%.
However, it’s still useful for us to look at how we can convert a fraction to a decimal, so we’ll proceed with this article and explain it step by step, even though technically we already have the answer!
So, since our denominator in 67/100 is 100, we could adjust the fraction to make the denominator 100. To do that, we divide 100 by the denominator:
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100 รท 100 = 1
Once we have that, we can multiple both the numerator and denominator by this multiple:
Now we can see that our fraction is 67/100, which means that 67/100 as a percentage is 67%.
We can also work this out in a simpler way by first converting the fraction 67/100 to a decimal. To do that, we simply divide the numerator by the denominator:
67/100 = 0.67
Once we have the answer to that division, we can multiply the answer by 100 to make it a percentage:
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0.67 x 100 = 67%
And there you have it! Two different ways to convert 67/100 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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