It"s really common when learning about fractions to desire to understand how convert a portion like 30/200 into a percentage. In this step-by-step guide, we"ll show you how to revolve any portion into a portion really easily. Let"s take a look!


Want to easily learn or present students exactly how to convert 30/200 to a percentage? play this an extremely quick and fun video now!


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

You are watching: 30 is what percent of 200

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

So, since our denominator in 30/200 is 200, us could change the fraction to do the denominator 100. To perform that, we division 100 by the denominator:

100 ÷ 200 = 0.5

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


30 x 0.5/200 x 0.5=15/100

Now we can see that our fraction is 15/100, which way that 30/200 as a percentage is 15%.

We can likewise work this out in a simpler way by an initial converting the fraction 30/200 to a decimal. To perform that, we simply divide the numerator by the denominator:

30/200 = 0.15

Once we have actually the prize to the division, we deserve to multiply the answer by 100 to do it a percentage:

0.15 x 100 = 15%

And there you have it! Two different ways to convert 30/200 to a percentage. Both room pretty straightforward and easy to do, however I personally like the convert to decimal an approach as it takes less steps.

I"ve seen a many students get confused whenever a question comes up around converting a fraction to a percentage, however if you follow the procedures laid out below it must be simple. The said, you may still need a calculator because that more facility fractions (and girlfriend can constantly use our calculator in the kind below).

If you desire to practice, grab you yourself a pen, a pad, and also a calculator and shot to transform a couple of fractions come a portion yourself.

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

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