Percent to Fraction conversion calculator
Simplify the process of converting percentages to fractions with our efficient Percent to Fraction Converter. This calculator allows you to effortlessly convert any percentage value to its equivalent fraction representation. Simply input the percentage value, and our calculator will instantly generate the fraction.
What is Percent to Fraction conversion calculator
To convert a percentage to a fraction, you can follow these steps:
- Take the percentage value and divide it by 100 to convert it to a decimal.
- Simplify the decimal fraction, if possible, by reducing it to the lowest terms.
Here's an example:
Let's say you want to convert 75% to a fraction.
Step 1: Convert 75% to a decimal by dividing it by 100: 75 รท 100 = 0.75
Step 2: Simplify the decimal fraction if possible: Since 0.75 cannot be simplified further, we can keep it as is.
The result is 75% as a fraction is 0.75 or 75/100.
If you want to express the fraction in its simplest form, you can further reduce it by dividing both the numerator and denominator by their greatest common divisor (GCD). In this case, the GCD of 75 and 100 is 25:
75 รท 25 = 3 100 รท 25 = 4
So, the simplest form of 75% as a fraction is 3/4.
You can also use online calculators or mathematical software to perform percentage to fraction conversions easily.
How to convert percent to fraction
- Divide the percent by 100 to get decimal number.
- Count the number of digits (d) to the right of the decimal point of the decimal number.
Example: 2.56 has 2 digits to the right of the decimal point, so d=2.
- Calculate the factor (f) for making the decimal number an integer:
f = 10d
Example:
f = 102 = 100
- Multiply and divide the decimal number x by the factor f:
x ร f / f = y / f
Example:
2.56 ร 100 / 100 = 256 / 100
- Find the greatest common divisor (gcd) of the fraction.
Example:
gcd(256,100) = 4
- Reduce the fraction by dividing the numerator and denominator by the gcd value:
Example:
256 / 100 = (256/4) / (100/4) = 64/25
Example
One percent is equal to one hundredth:
1% = 1/100
So in order to convert percent to fraction, divide the percent by 100% and reduce the fraction.
For example 56% is equal to 56/100 with gcd=4 is equal to 14/25:
56% = 56/100 = 14/25
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 |
