I have trouble expressing a fraction as a percentage and the reverse.
What are the steps? I have 36% as an example.
Thanks in advance!
Explanation from Alloprof
This Explanation was submitted by a member of the Alloprof team.
I would first like to congratulate you on your mindset! Indeed, when you have difficulty with a notion, it is good to practice!
This is why Alloprof precisely offers exercises. You just have to use the search bar to look for the concept/notion on our site. You can have a sheet of paper and a pencil with you, not only to make calculations easier, but also to keep records of your steps if necessary.
Let's take foremost a look at your example to understand the basics and be able to start practicing with more confidence and a reference.
To convert a percentage to a fraction:
You must first change the percentage to a fraction out of 100.
36% = 36/100
Finally, we reduce the fraction if possible.
36100 = (36 ÷ 4)/(100 ÷ 4) = 9/25
If we want to do the opposite and therefore change a fraction into a percentage:
We put the fraction on a denominator which is equal to 100. If we have 9/25, knowing that 100 ÷ 25 = 4, multiply the numerator and denominator by 4.
9/25 = (9⋅4)/(25⋅4) = 36/100
Since the percentage % = 1/100, we can now find 36/100 = 36%
Get started with the exercises now! Good luck!