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A percent and a fraction are two different ways of expressing a portion or a part of a whole.
Percent
A percent is a way of expressing a value as a fraction of 100. It is denoted by the symbol “%”. For example, if you have 30 out of 100 apples, you can say you have 30%. Percentages are used to represent proportions or ratios on a scale of 0 to 100.
Fraction
A fraction represents a part of a whole or a ratio of two quantities. It is written in the form of a numerator (top number) over a denominator (bottom number), separated by a horizontal line.
How to convert percent to fraction
Converting a percent to a fraction involves a simple process. Here’s how you can do it:
- Write the Percent as a Fraction Over 100:
Take the given percent and write it as a fraction with the percent value as the numerator and 100 as the denominator.
- Simplify the Fraction (if Possible):
If the numerator and denominator of the fraction have a common factor other than 1, you can simplify the fraction by dividing both the numerator and denominator by that common factor.
Example – Convert 75% to a Fraction
Ans. Write the percent as a fraction over 100:
Percent = 75%, Fraction = 75/100
Simplify the fraction:
The numerator (75) and denominator (100) have a common factor of 25. Divide both by 25:
Simplified Fraction = 75/100 ÷ 25/25 = 3/4
So, 75% is equivalent to the fraction 3/4.
In general, the formula for converting a percent to a fraction is:
Percent as Fraction = Percent Value / 100
And then simplify the fraction if needed.
Remember, fractions are typically in their simplest form when the numerator and denominator have no common factors other than 1.
Percent to fraction conversion table
| Percent | Fraction |
| 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 |
FAQs on Percent to fraction conversion
How do you convert percent to a fraction?
To convert a percent to a fraction, follow these steps: Remove the percent symbol. Divide the number by 100 to convert it to a decimal. Simplify the decimal into a fraction if necessary.
What is the fraction for 66.67 percent?
To convert 66.67% to a fraction: Remove the percent symbol: 66.67 Divide by 100: 66.67 / 100 = 0.6667 Simplify: 0.6667 can be approximated as 2/3.
What is 37.5% as a fraction?
To convert 37.5% to a fraction: Remove the percent symbol: 37.5 Divide by 100: 37.5 / 100 = 0.375 Simplify: 0.375 can be expressed as 3/8.
What is 30% as a fraction?
To convert 30% to a fraction: Remove the percent symbol: 30 Divide by 100: 30 / 100 = 0.3 Simplify: 0.3 can be expressed as 3/10.
What is 20% as a fraction?
To convert 20% to a fraction: Remove the percent symbol: 20 Divide by 100: 20 / 100 = 0.2 Simplify: 0.2 can be expressed as 1/5.
What is 42% as a fraction?
To convert 42% to a fraction: Remove the percent symbol: 42 Divide by 100: 42 / 100 = 0.42 Simplify: 0.42 can be written as 21/50.
What is 33.33% as a fraction?
To convert 33.33% to a fraction: Remove the percent symbol: 33.33 Divide by 100: 33.33 / 100 = 0.3333 Simplify: 0.3333 can be approximated as 1/3.
