This fraction to percent calculator performs necessary arithmetic operations to convert any fraction (proper, improper, or mixed number) to its equivalent percentage notation.
How to Use this Fraction to Percent Calculator?
- Enter the numerator and denominator of the fraction
- If it is a mixed number, you can also add the whole number
- Select the precision of the decimal point
- Tap ‘Calculate’ & get percentage number
How to Convert Fraction to Percent?
- Step # 01: Divide Numerator by Denominator to get the decimal notation
- Step # 02: Multiply the decimal number by 100 to get the percent value
Mathematical Formula:
Percent = p/q * 100
where;
- p = Numerator
- q = Denominator
Example:
Suppose we have the fraction as 4/5.
Percent = p/q * 100
Percent = 4/5 * 100
Percent = 0.8 * 100
Percent = 80
Now here, many students might make mistakes during conversions like errors in decimal notations, etc. This is why our fraction to percent calculator will make every conversion accurate, fast, and detailed. This helps everyone to understand the solution better.
Alternative Methods:
There are a couple of other ways by which you can convert fraction to percentages. These include:
Shift Decimal Places 2 Places Right:
- Divide numerator by denominator to get the decimal number
- Now instead of multiplying it by 100, simply shift the decimal point 2 places right
Example:
Convert 3/6 to its percent notation.
3/6 = 0.5
Percent = 0.5 (Shift decimal 2 places right) => 50%
More Complicated Method:
- Simply find a whole number that gives 100 when multiplied by the denominator of the given fraction
- Multiply both numerator and the denominator by that number
- Write the new numerator with a percent sign (%)
Example:
The given fraction is “2/20”
If we multiply 20 by 5, we get 100. So multiply both the numerator and the denominator by 5.
2/20 = 2*5/20*5
= 10/100
= 10% (As 1/100 represents percentage)
Facts about Fractions to Percent Conversion:
- You can change a fraction to decimal form only by the long division method
- A mixed number is always equal to or greater than 1. This is why whenever you convert mixed fractions to percentage, the value will be greater than 100.
Fraction to Percent Conversion Table:
| Fraction | Percent |
| 1/2 | 50 % |
| 1/3 | 33.33 % |
| 2/3 | 66.67 % |
| 1/4 | 25 % |
| 2/4 | 50 % |
| 3/4 | 75 % |
| 1/5 | 20 % |
| 2/5 | 40 % |
| 3/5 | 60 % |
| 4/5 | 80 % |
| 1/6 | 16.67 % |
| 2/6 | 33.33 % |
| 3/6 | 50 % |
| 4/6 | 66.67 % |
| 5/6 | 83.33 % |
| 1/7 | 14.285714 % |
| 2/7 | 28.571429 % |
| 3/7 | 42.857143 % |
| 4/7 | 57.142858 % |
| 5/7 | 71.428571 % |
| 6/7 | 85.714286 % |
| 1/8 | 12.5 % |
| 2/8 | 25 % |
| 3/8 | 37.5 % |
| 4/8 | 50 % |
| 5/8 | 62.5 % |
| 6/8 | 75 % |
| 7/8 | 87.5 % |
| 1/9 | 11.111111 % |
| 2/9 | 22.222222 % |
| 3/9 | 33.333333 % |
| 4/9 | 44.444444 % |
| 5/9 | 55.555556 % |
| 6/9 | 66.666667 % |
| 7/9 | 77.777778 % |
| 8/9 | 88.888889 % |
| 1/10 | 10 % |
| 2/10 | 20 % |
| 3/10 | 30 % |
| 4/10 | 40 % |
| 5/10 | 50 % |
| 6/10 | 60 % |
| 7/10 | 70 % |
| 8/10 | 80 % |
| 9/10 | 90 % |