It"s an extremely common as soon as learning about fractions to want to know how convert a portion like 1/3 right into a percentage. In this step-by-step guide, we"ll show you just how to revolve any fraction into a portion really easily. Let"s take a look!


Want to easily learn or present students how to transform 1/3 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 go over some an extremely quick fraction basics. Remember that a numerator is the number above the portion line, and the denominator is the number below the portion line. We"ll use this later on in the tutorial.

You are watching: 1 in 3 is what percentage

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

So, because our denominator in 1/3 is 3, us could readjust the fraction to do the denominator 100. To do that, we division 100 by the denominator:

100 ÷ 3 = 33.333333333333

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


1 x 33.333333333333/3 x 33.333333333333=33.333333333333/100

Now we have the right to see that our portion is 33.333333333333/100, which way that 1/3 as a percent is 33.3333%.

We can additionally work this out in a simpler method by an initial converting the fraction 1/3 to a decimal. To execute that, we merely divide the numerator by the denominator:

1/3 = 0.33333333333333

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

0.33333333333333 x 100 = 33.3333%

And there you have it! Two different ways to transform 1/3 come a percentage. Both space pretty straightforward and also easy to do, but I personally like the transform to decimal method as the takes less steps.

I"ve seen a many students get confused whenever a inquiry comes up about converting a fraction to a percentage, yet if you follow the measures laid out here it should be simple. The said, you might still require a calculator because that more facility fractions (and you can constantly use our calculator in the type below).

If you want to practice, grab you yourself a pen, a pad, and a calculator and shot to convert a couple of fractions come a percent yourself.

Hopefully this tutorial has helped you come understand how to transform a portion to a percentage. You can now go forth and also convert fountain to percentages as lot as your little heart desires!

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