It"s really common when learning about fractions to want to know how transform a fraction like 4/40 into a percentage. In this step-by-step guide, we"ll display you exactly how to turn any fraction into a percentage really easily. Let"s take a look!


Want to easily learn or show students exactly how to convert 4/40 come a percentage? beat this very quick and fun video now!


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

You are watching: What is 4% of 40

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

So, because our denominator in 4/40 is 40, us could change the portion to make the denominator 100. To do that, we divide 100 through the denominator:

100 ÷ 40 = 2.5

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


4 x 2.5/40 x 2.5=10/100

Now we deserve to see the our portion is 10/100, which means that 4/40 as a percentage is 10%.

We can also work this the end in a simpler way by an initial converting the fraction 4/40 come a decimal. To perform that, we simply divide the molecule by the denominator:

4/40 = 0.1

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

0.1 x 100 = 10%

And there you have actually it! Two different ways to transform 4/40 to a percentage. Both are pretty straightforward and easy to do, yet I personally prefer the convert to decimal an approach as that takes less steps.

I"ve checked out a the majority of students get perplexed whenever a question comes up about converting a portion to a percentage, but if you monitor the procedures laid out below it have to be simple. The said, you may still require a calculator for more facility fractions (and girlfriend can always use our calculator in the form below).

If you desire to practice, grab yourself a pen, a pad, and also a calculator and try to convert a few fractions come a percentage yourself.

Hopefully this tutorial has actually helped you to understand how to convert a portion to a percentage. You have the right to now go forth and also convert fountain to percentages as much as your tiny heart desires!

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