It"s really common once learning around fractions to desire to understand how transform a fraction like 12/40 into a percentage. In this step-by-step guide, we"ll present you just how to turn any fraction into a portion really easily. Let"s take a look!


Want to quickly learn or display students exactly how to convert 12/40 to a percentage? beat this an extremely quick and also fun video now!


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

You are watching: 12/40 as a percent

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

So, since our denominator in 12/40 is 40, we could readjust the fraction to make the denominator 100. To execute that, we divide 100 by the denominator:

100 ÷ 40 = 2.5

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


12 x 2.5/40 x 2.5=30/100

Now we can see that our fraction is 30/100, which method that 12/40 as a percent is 30%.

We can likewise work this the end in a simpler method by very first converting the portion 12/40 come a decimal. To execute that, we simply divide the molecule by the denominator:

12/40 = 0.3

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

0.3 x 100 = 30%

And there you have actually it! Two various ways to transform 12/40 to a percentage. Both space pretty straightforward and also easy come do, but I personally favor the convert to decimal technique as the takes less steps.

I"ve checked out a many students get perplexed whenever a question comes up about converting a fraction to a percentage, yet if you follow the procedures laid out here it need to be simple. That said, you may still need a calculator because that more complex fractions (and friend can constantly use ours calculator in the kind below).

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

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

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Fraction to percentage Calculator


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