It"s very common once learning about fractions to desire to know how convert a portion like 4/6 right into a percentage. In this step-by-step guide, we"ll display you how to revolve any portion into a percentage really easily. Let"s take a look!


Want to easily learn or present students how to transform 4/6 come a percentage? beat this really quick and also fun video clip now!


Before we gain started in the portion to portion conversion, let"s go over some really quick portion basics. Remember the a numerator is the number over 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: 4/6 as a percent

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

So, due to the fact that our denominator in 4/6 is 6, us could adjust the portion to do the denominator 100. To execute that, we division 100 by the denominator:

100 ÷ 6 = 16.666666666667

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


4 x 16.666666666667/6 x 16.666666666667=66.666666666667/100

Now we deserve to see the our portion is 66.666666666667/100, which way that 4/6 as a percent is 66.6667%.

We can additionally work this out in a simpler way by an initial converting the fraction 4/6 come a decimal. To perform that, we just divide the molecule by the denominator:

4/6 = 0.66666666666667

Once we have the price to that 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 actually it! Two various ways to convert 4/6 come a percentage. Both room pretty straightforward and easy to do, however I personally prefer the transform to decimal an approach as the takes much less steps.

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

If you want to practice, grab yourself a pen, a pad, and a calculator and try to transform a few fractions to a percent yourself.

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

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