Formula
Fraction to percent = (Numerator ÷ Denominator) × 100. Divide the top number by the bottom number, then multiply by 100. Example: 3/4 = 0.75 × 100 = 75%.
How to use this calculator
Enter the numerator (top number) and denominator (bottom number). The percentage appears instantly along with the decimal equivalent and a two-step breakdown. The calculator works for any real numbers except when the denominator is zero.
Formula
A percentage is a fraction expressed out of 100. To convert any fraction:
$$\% = \frac{\text{Numerator}}{\text{Denominator}} \times 100$$
The two steps are: divide the numerator by the denominator to get the decimal, then multiply by 100 to shift the decimal point two places to the right. The process is identical whether the fraction is proper (numerator < denominator), improper (numerator > denominator), or negative.
Worked examples
Example 1: proper fraction — 3/4
$$\frac{3}{4} \times 100 = 75\%$$
3/4 is equal to 75%.
Example 2: proper fraction — 5/8
$$\frac{5}{8} \times 100 = 62.5\%$$
5/8 is equal to 62.5%.
Example 3: improper fraction — 7/3
When the numerator is larger than the denominator, the result exceeds 100%:
$$\frac{7}{3} \times 100 \approx 233.33\%$$
7/3 is approximately 233.33%.
Common fractions reference table
The most frequently encountered fractions and their exact percentage equivalents:
| Fraction | Decimal | Percentage |
|---|---|---|
| 1/2 | 0.5 | 50% |
| 1/3 | 0.333… | 33.333…% |
| 2/3 | 0.666… | 66.666…% |
| 1/4 | 0.25 | 25% |
| 3/4 | 0.75 | 75% |
| 1/5 | 0.2 | 20% |
| 2/5 | 0.4 | 40% |
| 3/5 | 0.6 | 60% |
| 4/5 | 0.8 | 80% |
| 1/8 | 0.125 | 12.5% |
| 3/8 | 0.375 | 37.5% |
| 5/8 | 0.625 | 62.5% |
| 7/8 | 0.875 | 87.5% |
| 1/10 | 0.1 | 10% |
| 1/100 | 0.01 | 1% |
Mixed numbers
A mixed number (e.g. 2¼) combines a whole number and a fraction. To convert to a percentage, first convert to an improper fraction, then apply the standard formula:
$$2\frac{1}{4} = \frac{9}{4} \times 100 = 225\%$$
General rule: for a mixed number a b/c, the improper fraction is (a × c + b) / c.
Common mistakes
Dividing denominator by numerator instead of numerator by denominator
The numerator always goes on top. 3/4 means 3 divided by 4 (= 0.75 = 75%), not 4 divided by 3. Reversing the division gives the reciprocal — a different value entirely.
Forgetting to multiply by 100
The division step gives the decimal equivalent (0.75), not the percentage. Multiplying by 100 is what converts it to a percentage (75%). Writing 0.75% is a 100× error.
Rounding repeating decimals incorrectly
Fractions like 1/3 produce non-terminating repeating decimals (0.333…). Round only the final percentage result, not intermediate values, to avoid compounding rounding errors.
Frequently asked questions
How do you convert a fraction to a percentage?
Divide the numerator by the denominator, then multiply by 100. Example: 3/4 = 3 ÷ 4 = 0.75 × 100 = 75%.
What is 3/4 as a percentage?
75%. Divide 3 by 4 to get 0.75, then multiply by 100.
What is 1/3 as a percentage?
Approximately 33.33%. The exact value is 33.333… (repeating), since 1 ÷ 3 = 0.333…
Can a fraction give a percentage greater than 100%?
Yes. Any improper fraction (numerator larger than denominator) converts to a percentage above 100%. For example, 7/3 ≈ 233.33%.
How do you convert a mixed number to a percentage?
Convert to an improper fraction first: multiply the whole number by the denominator and add the numerator. Example: 2¼ → (2 × 4 + 1)/4 = 9/4 → 9 ÷ 4 × 100 = 225%.
What is the difference between a fraction, a decimal, and a percentage?
All three represent the same value in different forms. A fraction (3/4), a decimal (0.75), and a percentage (75%) are interchangeable. A percentage is a decimal multiplied by 100 — it expresses the value "per hundred".