It"s very common when learning about fractions to want to know how convert a fraction like 26/45 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 26/45 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.

You are watching: 26 out of 45 as a percentage

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 26/45 is 45, we could adjust the fraction to make the denominator 100. To do that, we divide 100 by the denominator:

100 ÷ 45 = 2.2222222222222

Once we have that, we can multiple both the numerator and denominator by this multiple:


26 x 2.2222222222222/45 x 2.2222222222222=57.777777777778/100

Now we can see that our fraction is 57.777777777778/100, which means that 26/45 as a percentage is 57.7778%.

We can also work this out in a simpler way by first converting the fraction 26/45 to a decimal. To do that, we simply divide the numerator by the denominator:

26/45 = 0.57777777777778

Once we have the answer to that division, we can multiply the answer by 100 to make it a percentage:

0.57777777777778 x 100 = 57.7778%

And there you have it! Two different ways to convert 26/45 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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