What is 31/75 as a percentage?
It's very common when learning about fractions to want to know how convert a fraction like 31/75 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 31/75 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 31/75 is 75, we could adjust the fraction to make the denominator 100. To do that, we divide 100 by the denominator:
100 ÷ 75 = 1.3333333333333
Once we have that, we can multiple both the numerator and denominator by this multiple:
Now we can see that our fraction is 41.333333333333/100, which means that 31/75 as a percentage is 41.3333%.
We can also work this out in a simpler way by first converting the fraction 31/75 to a decimal. To do that, we simply divide the numerator by the denominator:
31/75 = 0.41333333333333
Once we have the answer to that division, we can multiply the answer by 100 to make it a percentage:
0.41333333333333 x 100 = 41.3333%
And there you have it! Two different ways to convert 31/75 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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