It"s really common when learning about fractions to want to know how transform a portion like 4/6 right into a percentage. In this step-by-step guide, we"ll display you exactly how to revolve any fraction into a portion really easily. Let"s take it a look!
Want to quickly learn or show students exactly how to convert 4/6 to a percentage? beat this really quick and fun video clip now!
Before we get started in the portion to portion conversion, let"s go over some very quick portion basics. Remember that a molecule is the number above 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: 4 out of 6 is what percent
When we are using percentages, what we are really saying is the the percentage is a fraction of 100. "Percent" means per hundred, and also so 50% is the same as saying 50/100 or 5/10 in fraction form.
So, since our denominator in 4/6 is 6, us could adjust the fraction to do the denominator 100. To carry out that, we division 100 by the denominator:
100 ÷ 6 = 16.666666666667
Once we have actually that, we deserve to multiple both the numerator and denominator by this multiple:
4 x 16.666666666667/6 x 16.666666666667=66.666666666667/100
Now we can see that our portion is 66.666666666667/100, which method that 4/6 together a percentage is 66.6667%.
We can also work this the end in a simpler method by an initial converting the portion 4/6 come a decimal. To carry out that, we simply divide the molecule by the denominator:
4/6 = 0.66666666666667
Once we have the prize to that division, we can multiply the prize by 100 to do it a percentage:
0.66666666666667 x 100 = 66.6667%
And over there you have actually it! Two various ways to transform 4/6 to a percentage. Both room pretty straightforward and also easy to do, but I personally choose the transform to decimal an approach as that takes less steps.
I"ve watched a lot of students get confused whenever a question comes up around converting a fraction to a percentage, yet if you follow the procedures laid out right here it must be simple. That said, you may still require a calculator for more complicated fractions (and you can constantly use ours calculator in the type below).
If you want to practice, grab yourself a pen, a pad, and a calculator and shot to transform a couple of fractions to a percent yourself.
Hopefully this tutorial has helped you to understand exactly how to convert a fraction to a percentage. You have the right to now walk forth and also convert fountain to percentages as much as your small heart desires!
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