It"s very common as soon as learning around fractions to desire to recognize how transform a fraction like 1/3 right into a percentage. In this step-by-step guide, we"ll present you just how to revolve any portion into a portion really easily. Let"s take it a look!


Want to conveniently learn or display students exactly how to transform 1/3 to a percentage? pat this very quick and also fun video clip now!


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

You are watching: What does 1/3 equal

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

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

100 ÷ 3 = 33.333333333333

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


1 x 33.333333333333/3 x 33.333333333333=33.333333333333/100

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

We can likewise work this out in a simpler means by first converting the portion 1/3 to a decimal. To carry out that, we simply divide the numerator by the denominator:

1/3 = 0.33333333333333

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

0.33333333333333 x 100 = 33.3333%

And there you have actually it! Two various ways to transform 1/3 to a percentage. Both space pretty straightforward and easy to do, but I personally like the convert to decimal technique as that takes less steps.

I"ve checked out a the majority of students get puzzled whenever a question comes up around converting a fraction to a percentage, however if you follow the procedures laid out here it have to be simple. The said, you may still need a calculator because that more complicated fractions (and you can always use ours calculator in the type below).

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If you desire to practice, grab you yourself a pen, a pad, and also a calculator and shot to transform a few fractions come a percentage yourself.

Hopefully this tutorial has helped you come understand exactly how to transform a portion to a percentage. You have the right to now walk forth and also convert fractions to percentages as much as your tiny heart desires!

Fraction to portion Calculator


Fraction as Percentage

Enter a numerator and also denominator