Percentage to fraction

Change from percentage to fraction is very easy with our online calculator. You simply enter the percentage you want to convert to a fraction and after pressing the calculate button, you will automatically you will obtain the irreducible fraction of that value.

The only thing you must take into account is that for percentages with decimals you must use the period symbol as a separator (.) instead of the usual comma (,). That is, if you want to convert 14.52% to a fraction, you must type 14.52 in the calculator to obtain the appropriate result.

We remind you that we also have at your disposal a tool for change from fraction to percentagei.e., the reverse operation.

How to convert from percentage to fraction

When we talk about percentages, we are making a division into 100 parts. This means that if we have a 3%, out of those 100 divisions we have been left with only three and, therefore, we have a fraction like this: 3/100

The process of converting a percentage into a fraction consists precisely in this, in dividing the percentage figure by 100 and see if this fraction can be further reduced until it becomes irreducible.

Another examplewe are going to convert a 22% to a fraction:

22/100 = 11/50

In short, to convert from percentage to fraction you only have to put in the denominator a 100.

How to convert a percentage with decimals to a fraction

Percentage to fraction

If we encounter a percentage that has decimal places, convert it to a fraction involves a number of additional steps. Even so, the process is very simple and consists of the following:

  1. Put 100 in the denominator
  2. Multiply numerator and denominator by 10xwhere x is the number of decimal places in the percentage.
  3. Convert to irreducible fraction

For example, let's convert 72.5% to decimal by following the above procedure:

  1. 72,5/100
  2. We multiply the numerator and denominator by 10 since we only have one decimal place and we are left with: 725/1000
  3. We calculate the irreducible fraction: 29/40

Let's complicate it a little more by passing to decimal the percentage 65.567%. We repeat the same process and we have:

  1. 65,567/100
  2. We multiply the numerator and denominator by 1000 since in this case, there are three decimal places. The result gives us the fraction 65567/100000.

In this case, we cannot reduce the fraction any further since they do not share any common factor that allows us to simplify the numerator and denominator.

Percentage to fraction in Excel

All the theory that you have seen in the previous two points for convert a percentage to a fraction you can save it by using our converter or by using Excel.

In the case of using excel to convert a percentage to a fractionIn order to create a new spreadsheet, you need to choose two empty cells.

In the first empty cell you are going to write the percentage without forgetting the symbol %, so Excel will automatically interpret it as a percentage. If you forget it, you can type it or go to "Format Cells" and choose "Percentage" as the category.

Fractions in Excel

In the second empty cell we will represent the percentage in the form of a fraction. To do this, go to the cell and go to "Format Cells" and choose the "Fraction" category, selecting the subcategory of up to three digits to make it as accurate as possible.

When you have it, click the accept button and type the following formula:

=A1

A1 being the coordinates of the cell in which we have written the percentage that we want to convert to a fraction. If you have used another cell, simply change the coordinates and use the ones you need for your spreadsheet.

After pressing the Enter key, Excel will automatically convert any percentage to fraction.

Percentage to fraction conversion table

Below you will find some examples of percentages that we have converted to fractions to see the equivalence of some of the most commonly used values in daily life:

PercentageFraction
1%1/100
10%1/10
11,11%1/9
12,5%1/8
14,29%1/7
16,67%1/6
20%1/5
22,22%2/9
25%1/4
28,57%2/7
30%3/10
33,33%1/3
37,5%3/8
40%2/5
42,86%3/7
44,44%4/9
50%1/2
55,56%5/9
57,14%4/7
62,5%5/8
66,67%2/3
60%3/5
70%7/10
71,43%5/7
75%3/4
77,78%7/9
80%4/5
83,33%5/6
85,71%6/7
87,5%7/8
88,89%8/9
90%9/10

Do you have any questions about how to pass a percentage to irreducible fraction? If so, write us a comment and we will help you as soon as possible.

9 thoughts on “Porcentaje a fracción”

    • Hello Iris,

      You ask us to convert a percentage to a fraction, but what you send us is already a fraction.

  1. Hello!!! I think your site is fantastic, I find it extremely useful.
    For my job, I usually have to convert percentages into fractions, and many times the complex. In many cases, I need to keep the common denominator, and that's where it gets super complicated.
    I have a 45% of a property being sold to three different people in the following proportions: A buys 36%; B buys 4.5%; and C buys 4.5%.
    The 45% in fraction would be 9/20. But I need to keep (as much as possible) the denominator 20; since the one who kept the 55% of the property and who DOES NOT SELL, HAS THE 11/20 and I cannot modify it.
    I must do it this way and NOT in percentage, because the Property Registry of the Province of Buenos Aires requires to enter the percentages of the sales in bankruptcies (or fraction), since it is the way that there are no remainders without adjudicating (e.g. 33.3333%).
    Is what I am asking for possible or is there no other possibility but to change the common denominator?
    And if so, it has to be a common denominator to 36% 4.5% and 4.5%.

    Reply
    • Hello Florence,

      It will be difficult to get what you want, basically because you will not always be able to maintain the common denominator you need to make your work easier.

      The example you mention is clear with respect to this subject. You will have to work with fractions that have different denominators since you cannot represent that 4.5% with 20 as denominator.

      What you can do is to convert each percentage individually to a fraction, and when you have them all, you get the least common multiple of all of them. Then you calculate the equivalent fraction of each for that new denominator.

      It is an extra step but once done you will be able to work with the same denominator in all the fractions, which I understand will make your work much easier.

      I hope I have helped you and thank you very much for visiting us. We are glad you find our website useful.

      Greetings!

  2. Good how can I change each percentage as a ratio, as a reduced fraction and as a decimal... in this case 23.5%; 67%and 9 it would be very helpful if you could answer me.

    Reply
    • Hi Evonnie,

      We don't quite understand exactly what you want. If you send us the exact statement, we can help you.

      Greetings!

  3. Hi! I have a very complicated case, I have many percentages that added together give 100% but individually I need to pass them to fractions and for that 100% to be understood correctly they must all have the same denominator:
    I have the following data:
    John: 70% this 70% is composed of: Peter: 7.053% (from the 70%) and Paul: 7.053% (from the 100%); Mary, Michael and Susanna each have 28.213% (from the 70%) and finally Martha 1.255% (from the 70%).
    July: 15%
    Ana: 15%

    I need the individual percentage expressed as a fraction of each with the same denominator. Can you help me?
    Thank you very much!!!

    Reply

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