It"s an extremely common as soon as learning about fractions to want to understand how convert a fraction like 5/30 into a percentage. In this step-by-step guide, we"ll show you exactly how to revolve any fraction into a percent really easily. Let"s take it a look!


Want to conveniently learn or display students exactly how to convert 5/30 come a percentage? beat this very quick and fun video now!


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

You are watching: 5 is what percent of 30

When we space 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 same as speak 50/100 or 5/10 in fraction form.

So, because our denominator in 5/30 is 30, us could adjust the fraction to make the denominator 100. To carry out that, we division 100 by the denominator:

100 ÷ 30 = 3.3333333333333

Once we have that, we have the right to multiple both the numerator and denominator through this multiple:


5 x 3.3333333333333/30 x 3.3333333333333=16.666666666667/100

Now we deserve to see the our portion is 16.666666666667/100, which way that 5/30 together a percent is 16.6667%.

We can also work this out in a simpler means by very first converting the portion 5/30 to a decimal. To execute that, we simply divide the numerator by the denominator:

5/30 = 0.16666666666667

Once we have the price to the division, we have the right to multiply the prize by 100 to make it a percentage:

0.16666666666667 x 100 = 16.6667%

And over there you have actually it! Two various ways to convert 5/30 come a percentage. Both room pretty straightforward and easy to do, however I personally favor the convert to decimal an approach as the takes less steps.

I"ve watched a most students get confused whenever a concern comes up about converting a portion to a percentage, yet if you follow the procedures laid out below it have to be simple. That said, you may still require a calculator for more complicated fractions (and girlfriend can constantly use ours calculator in the type below).

If you desire to practice, grab you yourself a pen, a pad, and a calculator and try to convert a couple of fractions come a percent yourself.

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

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