It"s very common as soon as learning about fractions to desire to recognize how convert a fraction like 2/3 right into a percentage. In this step-by-step guide, we"ll display you how to revolve any portion into a portion really easily. Let"s take a look!


Want to conveniently learn or display students how to convert 2/3 to a percentage? beat this an extremely quick and fun video now!


Before we get started in the portion to percentage conversion, let"s go over some very quick portion basics. Remember that a numerator is the number over the portion line, and the denominator is the number listed below the portion line. We"ll usage this later in the tutorial.

You are watching: What is 2/3 in percentage

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

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

100 ÷ 3 = 33.333333333333

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


2 x 33.333333333333/3 x 33.333333333333=66.666666666667/100

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

We can additionally work this the end in a simpler method by an initial 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 actually the price to the division, we have the right to multiply the answer by 100 to do it a percentage:

0.66666666666667 x 100 = 66.6667%

And over there you have it! Two different ways to convert 2/3 to a percentage. Both space pretty straightforward and easy come do, however I personally favor the transform to decimal technique as the takes less steps.

I"ve watched a many students get puzzled whenever a concern comes up about converting a portion to a percentage, but if you follow the steps laid out below it need to be simple. That said, you might still need a calculator because that more facility fractions (and friend can constantly use our calculator in the type below).

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If you want to practice, grab you yourself a pen, a pad, and a calculator and shot to convert a few fractions come a percentage yourself.

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

Fraction to percentage Calculator


Fraction as Percentage

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