Convert Percent to Fraction -
Convert Fraction to Percent
Convert percentages into fractions and vice versa
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Percentages and Fractions
Percentages and fractions are two different ways to represent a part of a whole. In both cases, they represent a ratio, which is a comparison of two quantities.
Percentages
A percentage is a ratio where the whole is defined as 100. The word "percent" itself means "per hundred". Therefore, a percentage is a way to represent a ratio or fraction in terms of hundred. For example, if 50 out of 100 apples are red, then 50 percent of the apples are red.
Fractions
A fraction is another way to represent a part of a whole. Unlike a percentage, which always defines a whole of 100, the denominator of a fraction can have any value. The denominator represents the total number of parts, while the numerator indicates the number of parts considered. For example, in the fraction 3/4, the total number of parts is 4, and we consider 3 of those parts.
Conversion between percentages and fractions
Converting percentages to fractions and vice versa is a common mathematical operation. To convert a percentage to a fraction, you divide the percentage by 100 to get the fraction. To go from a fraction to a percentage, you divide the numerator by the denominator and multiply by 100 to get the percentage.
Some examples
| Fraction | Percentage |
|---|---|
| 1/2 | 50% |
| 1/3 | 33.33% |
| 2/3 | 66.67% |
| 1/4 | 25% |
| 3/4 | 75% |
| 1/5 | 20% |
| 2/5 | 40% |
| 3/5 | 60% |
| 4/5 | 80% |