How To Change A Percent Into A Fraction?


51 Answers

Yun Wan Profile
Yun Wan answered
Fractions are used in order to compare ratios of two numbers. They're used for expressing the value of a part of something in comparison to its whole. For example, 1/8 of a pie would be equivalent to 1 piece of the pie that has been cut into equal 8ths. The top digit of a displayed fraction is known as the numerator and relates to the fraction of the whole. The bottom digit is known as the denominator and relates to the whole. For example, a fraction of 2/5 means that the value that is being expressed by the fraction is equal to 2 parts of a whole that is split into 5 equal parts.

A percentage (per cent. Per hundred in Latin) expresses the fraction of a whole over 100. This means that a percentage is equivalent to a fraction of the same value numerator over a denominator of 100. For example, a percentage of 67% has the fraction value of 67/100.

Generally when dealing with fractions it is common to reduce the numerator and denominator as much as possible without going into digits that use a decimal place. For example a percentage of 25% is equal to the fraction value of 25/100. Dividing the numerator and the denominator by the same value can reduce this fraction. In this case dividing both numbers by 25 would give the fraction value 1/4. The fraction 1/4 shouldn't be reduced to 0.5/2 as this uses a digit containing decimals as the numerator value.

When percentage values are given with a decimal place, the numerator and denominator of the given fraction are multiplied by a multiple of 10, depending on how many decimal places are given. For example a percentage value of 23.5% would give the fraction 23.5/100. Multiplying both numbers by 10 would give 235/1000. If the percentage value given has 2 decimal places, for example 23.55%, both digits of the given fraction would be multiplied by 100. Giving the fractional value 2355/10000.

There are a few important steps you need to follow in order to successfully convert a percentage into a fraction.

Step 1
First you must write the percentage number over 100. For example if it was 20 per cent then you would write:

Step 2
As this is a whole number it makes it a lot easier to work out the fraction. For 20 per cent the fraction would 20/100, which could then be broken down to 1/5.

You will find many more examples of how to convert percentages to fractions on sites such as
With maths, and specifically equations, the best way to successfully complete them is with practise. As practise will ensure you are able to remember each equation and the steps you need to take to complete the question correctly.

When it comes to exams you won't be allowed to have the equations written down; it will all have to be from memory. A good way of remembering is to keep it fresh in your mind. This means practising questions throughout the year and not just rush and cram revise before an exam. You will find it will sink in a lot easier this way.
Anonymous Profile
Anonymous answered
Put the percentage number over 100. For example: 63% would be 63/100, 50% would be 1/2 (or 50/100), etc
Aisha Profile
Aisha answered
You only have to divide the number by 100 to get the percentage into fraction. For example 35% becomes 35/100.
Oddman Profile
Oddman answered
Percent means "per hundred" (/100). To change a percent to a fraction, replace "%" with "/100".

20% = 20/100 = 1/5

43% = 43/100

56 2/3% = (56 2/3)/100 = 170/300 = 17/30
Anonymous Profile
Anonymous answered
You divide the numerator by the denominator.
Anonymous Profile
Anonymous answered
None of you have helped me what so ever your all rubish at explaining things and I'm rubish st changing percentages into fractions !
Ryan Rugraff Profile
Ryan Rugraff answered
Well this is easy, a percentage can be written three ways, but they all mean the same thing. First you need to change your percentage to a decimal number. Depending upon your percentage. So 50% = .50; 10% = .10; 5% = .05; 120% = 1.20 etc. Then you convert that to your fraction. 50/100; 10/100; 5/100; 1.2/100 then you reduce the fraction; 1/2; 1/10; 1/20 etc.
Ellie Hoe Profile
Ellie Hoe answered
It's simple. To convert a percentage into a fraction divide it by 100 and then reduce it to the simplest form possible. The operation would be something like this :-
  30% = 30/100
  = 3/10 (dividing both the numerator and denominator by  10)
Anonymous Profile
Anonymous answered
All you do is take the percent and place it over the next hundredth. For example: 20%= 20/100 OR 100%= 100/1000. It is really easy once you start to know this. After you do that you would simplify it to the lowest terms. Well my work is done here you are very welcome.
K  B Profile
K B answered
Very easy!

All you have to know is that 100% is 100/100

For example, 38% = 38/100 (38 over 100)

Really simple, it's just something over 100.
You could also simplify it for best answers.
So instead of 38/100, its 19/50. (Half)

I hope this helps,

24% = 24/100 (And remeberto simplify to its smallest) = 12/50 = 6/25
Jazz Swift Profile
Jazz Swift answered
Put any percentage over a hundred like so

40% .... 40/100
then cancel down.
40/100 {cancel by 10} 4/10 {then by 2} 2/5
Anonymous Profile
Anonymous answered
Put the percent over 100. If you had 62%, you would take 62/100, and then you could reduce it down by dividing by two.... 31/50. 27% would stay written as 27/100. Hope this helps.
Kushal Profile
Kushal answered
If you want to convert the percentage of a number into fraction, then just divide the given number by 100.
Example: 4% can be written as 4/100, in fraction form.
Anonymous Profile
Anonymous answered
Percent means per one hundred.

So 50% is the same as 50 per 100

so 50% is 50/100

(just put the number that the percentage is over 100) 5% 5/100 10% 10/100 etc
Anonymous Profile
Anonymous answered
A % is all ways out of 100, so say you have 14% your fraction is 14/100, then you simplify
Anonymous Profile
Anonymous answered
"Percent" means "per hundred" (/100). So 20% is 20 per hundred, 20/100.

Once you have a fraction like 20/100, you can simplify it in the usual way. That involves finding factors that are common to the numerator and denominator.

Hope this helps! : )
Dave Profile
Dave answered
The word percent means "out of 100" so put the percentage over 100. For example, 36% is 36/100 or (reduced) 9/25.
Anonymous Profile
Anonymous answered
Write the percent as a fraction in simplest form.. The question in 30%. We think we know how to do it but are not exactly sure
Anonymous Profile
Anonymous answered
All you have to do is put your percent and put it on the top of 100 example:25/100. Then reduce the fraction to its lowest.
Anonymous Profile
Anonymous answered
If you have 40% and you need to write it as a fraction in simplest form what do you get
Anonymous Profile
Anonymous answered
3/5 First you should divide them,,,,, second the answer is 1.2 then move 2 decimals to get 0.012
Anonymous Profile
Anonymous answered
First: You get your lazy butts up for school and learn how to do this instead of getting answers online!

Last: Listen to the first step to get to the last step!
Oddman Profile
Oddman answered
Percent means "per hundred" (/100). Replace the "%" with "/100" and reduce the resulting fraction in the usual way.

25% = 25/100 = (1*25)/(4*25) = (1/4)*(25/25) = 1/4

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