What is 2/3 as a percentage? - Convert 2/3 to percent

It’s very common when learning about fractions to want to know how to convert a fraction like 2/3 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 a number above the fraction line, and the denominator is the number below the fraction line. We’ll use this later in the tutorial.

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.

2 is what percent of 3

So, since our denominator in 2/3 is 3, we could adjust the fraction to make the denominator 100. To do that, we divide 100 by the denominator:

100 ÷ 3 = 33.333333333333

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

Numerator: 2 x 33.333333333333=66.666666666667

Denominator: 3 x 3.3333333333333=100

Now we can see that our fraction is 66.666666666667/100, which means that 2/3 as a percentage is 66.6667%.

We can also work this out in a simpler way by first converting the fraction 2/3 to a decimal. To do that, we simply divide the numerator by the denominator:

2/3 = 0.66666666666667

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

0.66666666666667 x 100 = 66.6667%

And there you have it! Two different ways to convert 2/3 to a percentage. Both are pretty straightforward and easy to do, but I personally prefer the convert to the decimal method as it takes fewer 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!

When is this useful?

Fractions are commonly used in everyday life. If you are splitting a bill or trying to score a test, you will often describe the problem using fractions. Sometimes, you may want to express the fraction as a percentage.