It’s very common when learning about fractions to want to know how convert a fraction like 35/75 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!
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.
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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 35/75 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
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Once we have that, we can multiple both the numerator and denominator by this multiple:
Now we can see that our fraction is 46.666666666667/100, which means that 35/75 as a percentage is 46.6667%.
We can also work this out in a simpler way by first converting the fraction 35/75 to a decimal. To do that, we simply divide the numerator by the denominator:
35/75 = 0.46666666666667
Once we have the answer to that division, we can multiply the answer by 100 to make it a percentage:
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0.46666666666667 x 100 = 46.6667%
And there you have it! Two different ways to convert 35/75 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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