Percent to Fraction Converter
To quickly convert percent to fractions, use our online percent to fraction converter.
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Conversion of Percentages to Fractions
In everyday life, percentages are seen frequently. To express rates and ratios, they are utilized. So, understanding how to convert percentages into fractions is a basic math skill used in all fields, from finance to day-to-day accounting. Percentages are expressed as numbers in percentages, followed by a symbol (%) to represent a percentage. Converting percentages to fractions allows for ease of comparison and adjustment of values.
Follow these simple steps to convert percentages to characters.
Understand percentages: Start with a given percent. For example, if you have 25%, understand that this means 25 out of 100.
Write as a Fraction: For conversions, keep the percentage above 100 and keep it simple if possible. For 25%, this would be 25/100.
Simplify the fraction: Reduce the fraction to its simplest fraction, divide their greatest common denominator by the denominator (the upper number) and the denominator (the lower number), and let it weaken to 25/100/4 in our example.
Thus, 25% as a fraction is equal to 1/4. This method works universally, whether the percentage is a whole number, a decimal, or a mixture of numbers. For example, a 75% conversion follows the same steps: 75/100 smooths to 3/4.
Percent to Fraction Conversion formula
Here is a formula. Based on this formula you can do fraction conversion from percentage.
Fraction = (Percent) / 100
Percentage to fraction conversion formula and Example
Let’s convert 25% to a fraction –
a. Divide 25 by 100: 25 / 100 = 0.25
b. Write 0.25 as a fraction: 0.25 / 1 (since there are two decimal places, the denominator is 100) = 25/100
c. Simplify the fraction (optional): The GCD of 25 and 100 is 25. Dividing both numerator and denominator by 25 gives 1/4.
Therefore, 25% is equivalent to the fraction 1/4.
Table for converting percentages to fractions
% Percent | Fraction |
---|---|
1 % | 1/100 |
2 % | 1/50 |
3 % | 3/100 |
4 % | 1/25 |
5 % | 1/20 |
6 % | 3/50 |
7 % | 7/100 |
8 % | 2/25 |
9 % | 9/100 |
10 % | 1/10 |
20 % | 1/5 |
25 % | 1/4 |
30 % | 3/10 |
40 % | 2/5 |
50 % | 1/2 |
60 % | 3/5 |
70 % | 7/10 |
75 % | 3/4 |
80 % | 4/5 |
90 % | 9/10 |
100 % | 1/1 |
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