It\"s really common as soon as learning about fractions to want to know how transform a portion like 30/45 into a percentage. In this step-by-step guide, we\"ll show you how to rotate any fraction into a portion really easily. Let\"s take it a look!

Want to conveniently learn or show students how to convert 30/45 come a percentage? play this very quick and fun video now!

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

You are watching: 30 is what percent of 45

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

So, since our denominator in 30/45 is 45, us could adjust the fraction to do the denominator 100. To do that, we divide 100 by the denominator:

100 ÷ 45 = 2.2222222222222

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

30 x 2.2222222222222/45 x 2.2222222222222=66.666666666667/100

Now we deserve to see the our portion is 66.666666666667/100, which way that 30/45 together a percentage is 66.6667%.

We can likewise work this the end in a simpler means by an initial converting the fraction 30/45 come a decimal. To perform that, we just divide the molecule by the denominator:

30/45 = 0.66666666666667

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

0.66666666666667 x 100 = 66.6667%

And there you have it! Two different ways to convert 30/45 come a percentage. Both space pretty straightforward and also easy come do, but I personally like the transform to decimal method as that takes much less steps.

I\"ve seen a most students get confused whenever a question comes up about converting a fraction to a percentage, however if you follow the measures laid out right here it must be simple. That said, you may still need a calculator for more facility fractions (and you can always use ours calculator in the kind below).

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

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

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