It"s very common once learning around fractions to want to recognize how transform a fraction like 3/36 into a percentage. In this step-by-step guide, we"ll present you exactly how to rotate any portion into a percent really easily. Let"s take a look!

Want to easily learn or show students just how to convert 3/36 to a percentage? pat this very quick and fun video now!

Before we gain started in the portion to percent conversion, let"s go over some really quick portion basics. Remember the a numerator is the number over the portion line, and also the denominator is the number below the portion line. We"ll usage this later on in the tutorial.

You are watching: 3 is what percent of 36

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

So, due to the fact that our denominator in 3/36 is 36, we could adjust the portion to make the denominator 100. To carry out that, we divide 100 by the denominator:

100 ÷ 36 = 2.7777777777778

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

3 x 2.7777777777778/36 x 2.7777777777778=8.3333333333333/100

**Now we can see that our portion is 8.3333333333333/100, which means that 3/36 as a percent is 8.3333%.**

We can also work this the end in a simpler way by an initial converting the portion 3/36 come a decimal. To perform that, we just divide the molecule by the denominator:

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

And there you have actually it! Two different ways to transform 3/36 come a percentage. Both space pretty straightforward and easy to do, however I personally choose the transform to decimal an approach as that takes much less steps.

I"ve watched a many students get puzzled whenever a question comes up about converting a fraction to a percentage, however if you follow the measures laid out below it must be simple. That said, you might still require a calculator because that more complex fractions (and friend can constantly use our calculator in the type below).

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

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

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