Percent to Fraction Calculator
Need to turn fractions into percents? Our Fraction to Percent Calculator makes it a breeze! Perfect for test grades, sale prices, or business reports. Just type your fraction, click convert, and get clear percentage results immediately.
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Percentage to fraction conversion
It is helpful to define percentages and fractions and discuss the reasons for any potential utility in converting between them before discussing percent-to-fraction conversion, which our Percent to Fraction Calculator does.
In everyday life, percentages are seen frequently. They are used to indicate rates and ratios. For instance, a percentage, such as 60%, can be used to represent the ratio of persons who are proficient in percentage calculations to fractions from the entire population. Although opinions on this matter vary, ratios are typically used more in everyday conversation than percentages. Some believe that difficulties learning fractions indicate a mathematical learning disability, while others see percentages as important in science, statistical data, and technical specifications.
Before, percent was called "per cent" and before that, "per centum." "Centum" is Latin for "one hundred." This makes percent a fraction with 100 as the bottom number. A fraction shows something as the same number of parts as another thing.
Converting a percent to a fraction is often helpful. You can do this easily with an online converter. If you can't use our calculator or prefer to do it yourself, see the explanation and example below. You can also use the conversion table for common values.
Percentage to a Fraction Calculation Formula
Here, to convert a percentage to a fraction, we will divide the percentage by 100 and simplify the fraction if possible. We have given the formula for this conversion below.
| Fraction = |
|
simplify |
| Percentage ÷ GCD | | | 100 ÷ GCD |
|
Percentage to Fraction calculation Examples
This time we will calculate the fractions given as percentages. For this, we will use the rule given above. Let us consider 25 percent in this case. Now first of all we have to divide that number by 100, 25 / 100 = 025. Here it is expressed as a fraction, i.e. the decimal is 4/10. Now the simplification of division is done by simplifying using the value of 25 which is the greatest common factor of the numerator and denominator. Actually, in this case, it is 2, and we will get the answer of 1/4 by dividing both by 2. So here the fraction of 25 percent is 1/4.
Example
Example 1: 25%
GCD of 25 and 100 is 25.
Example 2: 40%
GCD of 40 and 100 is 20.
Example 3: 8%
GCD of 8 and 100 is 4.
Example 4: 125% (Percentage > 100)
GCD of 125 and 100 is 25.
Example 5: 0.5% (Decimal Percentage)
GCD of 125 and 100 is 25.
GCD of 5 and 1000 is 5.
Key Takeaways:
Always divide by 100 after removing the % sign.
Simplify fully for the cleanest fraction.
Decimal percentages: Multiply numerator/denominator by 10, 100, etc., to eliminate decimals before simplifying.
A Table for percent to fraction calculation
| 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 |
