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Student Question

Secondary III • 1yr.

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!


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Explanations (1)

  • Explanation from Alloprof

    Explanation from Alloprof

    This Explanation was submitted by a member of the Alloprof team.

    Team Alloprof • 1yr.


    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!