It"s an extremely common once learning about fractions to desire to understand how transform a fraction like 3/15 into a percentage. In this step-by-step guide, we"ll display you just how to rotate any fraction into a percentage really easily. Let"s take a look!


Want to quickly learn or show students exactly how to convert 3/15 come a percentage? play this very quick and also fun video clip now!


Before we acquire started in the fraction to portion conversion, let"s walk over some an extremely quick fraction basics. Remember the a numerator is the number above the fraction line, and the denominator is the number listed below the fraction line. We"ll use this later on in the tutorial.

You are watching: What percent is 3 out of 15

When we room using percentages, what we room really saying is that the portion is a portion of 100. "Percent" means per hundred, and so 50% is the very same as saying 50/100 or 5/10 in fraction form.

So, due to the fact that our denominator in 3/15 is 15, we could readjust the portion to do the denominator 100. To do that, we division 100 through the denominator:

100 ÷ 15 = 6.6666666666667

Once we have actually that, we deserve to multiple both the numerator and also denominator by this multiple:


3 x 6.6666666666667/15 x 6.6666666666667=20/100

Now we have the right to see that our fraction is 20/100, which means that 3/15 together a percent is 20%.

We can additionally work this out in a simpler means by an initial converting the portion 3/15 come a decimal. To perform that, we simply divide the molecule by the denominator:

3/15 = 0.2

Once we have actually the prize to that division, we deserve to multiply the prize by 100 to do it a percentage:

0.2 x 100 = 20%

And there you have it! Two different ways to transform 3/15 to a percentage. Both are pretty straightforward and easy to do, but I personally favor the transform to decimal technique as that takes much less steps.

I"ve watched a the majority of students get perplexed whenever a inquiry comes up about converting a portion to a percentage, yet if you monitor the steps laid out here it should be simple. The said, you may still need a calculator because that more complex fractions (and girlfriend can always use ours calculator in the type below).

If you desire to practice, grab you yourself a pen, a pad, and a calculator and shot to transform a couple of fractions to a percent yourself.

Hopefully this tutorial has helped you to understand just how to convert a portion to a percentage. You can now walk forth and also convert fractions to percentages as much as your small heart desires!

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