Convert any fraction to a percentage instantly — simple fractions, mixed numbers, improper fractions, or decimals. Get the percentage, decimal, and simplified form with full step-by-step working.
Enter the numerator (top) and denominator (bottom) of your fraction. Works for proper fractions, improper fractions, and negative fractions.
Enter a mixed number — a whole number plus a fraction. For example: 2 and 3/4 means 2¾. The calculator converts it to an improper fraction first, then to a percentage.
Enter any decimal number to instantly convert it to a percentage and find its simplified fraction form.
| Fraction | Percentage | Decimal | Simplified | Try It |
|---|---|---|---|---|
| 1/2 | 50% | 0.5 | 1/2 | |
| 1/3 | 33.3̄% | 0.3̄ | 1/3 | |
| 2/3 | 66.6̄% | 0.6̄ | 2/3 | |
| 1/4 | 25% | 0.25 | 1/4 | |
| 3/4 | 75% | 0.75 | 3/4 | |
| 1/5 | 20% | 0.2 | 1/5 | |
| 2/5 | 40% | 0.4 | 2/5 | |
| 3/5 | 60% | 0.6 | 3/5 | |
| 4/5 | 80% | 0.8 | 4/5 | |
| 1/6 | 16.6̄% | 0.1̄6̄ | 1/6 | |
| 5/6 | 83.3̄% | 0.8̄3̄ | 5/6 | |
| 1/7 | 14.285714…% | 0.142857… | 1/7 | |
| 1/8 | 12.5% | 0.125 | 1/8 | |
| 3/8 | 37.5% | 0.375 | 3/8 | |
| 5/8 | 62.5% | 0.625 | 5/8 | |
| 7/8 | 87.5% | 0.875 | 7/8 | |
| 1/9 | 11.1̄% | 0.1̄ | 1/9 | |
| 1/10 | 10% | 0.1 | 1/10 | |
| 3/10 | 30% | 0.3 | 3/10 | |
| 7/10 | 70% | 0.7 | 7/10 | |
| 5/4 | 125% | 1.25 | 5/4 | |
| 3/2 | 150% | 1.5 | 3/2 |
Converting a fraction to a percentage is one of the most frequently used maths conversions in school, everyday life, and professional work. The core principle is simple: a percentage is a fraction with a denominator of 100. So converting any fraction to a percentage is just a matter of rescaling it so the denominator becomes 100.
There are two equivalent methods to do this — both give the same result.
Percentage = (Numerator ÷ Denominator) × 100
Or equivalently: Percentage = (Numerator / Denominator) × 100%
Step 1 — Improper fraction: ((Whole × Denominator) + Numerator) / Denominator
Step 2 — Percentage: Improper Fraction × 100
Example: 2 3/4 → ((2×4)+3)/4 = 11/4 → 11÷4×100 = 275%
Fraction: 7/8
Step 1 — Divide: 7 ÷ 8 = 0.875
Step 2 — Multiply: 0.875 × 100 = 87.5%
Verify (scale method): 8 × 12.5 = 100, so 7 × 12.5 = 87.5 → 87.5/100 = 87.5% ✓
Mixed Number: 3 2/5
Step 1 — Convert to improper fraction: (3 × 5) + 2 = 17 → 17/5
Step 2 — Divide: 17 ÷ 5 = 3.4
Step 3 — Multiply: 3.4 × 100 = 340%
(Mixed numbers always exceed 100% since they are greater than 1)
Some fractions, when divided, produce a decimal that repeats indefinitely: 1/3 = 0.333… = 33.333…%. These are called repeating decimals. They occur whenever the denominator has prime factors other than 2 and 5 (which are the prime factors of 10).
Common repeating examples: 1/3 = 33.3̄%, 1/6 = 16.6̄%, 1/7 ≈ 14.2857%, 1/9 = 11.1̄%, 2/3 = 66.6̄%
Terminating examples (denominator has only 2s and 5s): 1/2 = 50%, 1/4 = 25%, 1/5 = 20%, 1/8 = 12.5%, 3/20 = 15% — these divide cleanly.
Our calculator detects repeating decimals and marks them automatically.
An improper fraction has a numerator larger than its denominator — such as 5/3, 7/4, or 11/8. When converted to a percentage, these always yield a value greater than 100%. This is perfectly valid: it simply means the fraction represents more than one whole.
| Fraction | Division | Percentage | Mixed Number |
|---|---|---|---|
| 5/4 | 5 ÷ 4 = 1.25 | 125% | 1¼ |
| 3/2 | 3 ÷ 2 = 1.50 | 150% | 1½ |
| 7/4 | 7 ÷ 4 = 1.75 | 175% | 1¾ |
| 8/3 | 8 ÷ 3 = 2.666… | 266.7% | 2⅔ |
| 11/4 | 11 ÷ 4 = 2.75 | 275% | 2¾ |
| 5/2 | 5 ÷ 2 = 2.50 | 250% | 2½ |
While simplifying a fraction before converting is optional (you get the same percentage either way), it is good mathematical practice. To simplify, find the Greatest Common Divisor (GCD) of the numerator and denominator and divide both by it.
GCD(12, 16): Factors of 12: 1, 2, 3, 4, 6, 12 | Factors of 16: 1, 2, 4, 8, 16 → GCD = 4
Simplified: 12÷4 / 16÷4 = 3/4
Convert: 3 ÷ 4 × 100 = 75%
Or directly: 12 ÷ 16 × 100 = 75% — same answer, either way.
Common questions about converting fractions to percentages
Divide the numerator by the denominator, then multiply by 100. Formula: % = (Numerator ÷ Denominator) × 100. Example: 3/4 → 3 ÷ 4 = 0.75 → 0.75 × 100 = 75%. Use the calculator above for any fraction instantly.
3/4 as a percentage is 75%. Working: 3 ÷ 4 = 0.75, then 0.75 × 100 = 75%. Alternatively: scale to /100 — multiply both by 25 → 75/100 = 75%.
1/3 as a percentage is 33.333…% (often written 33⅓% or 33.3̄%). It is a repeating decimal: 1 ÷ 3 = 0.3̄, then × 100 = 33.3̄%. It cannot be expressed as an exact terminating decimal, so it is commonly rounded to 33.33% or 33.3%.
2/3 as a percentage is 66.666…% (66⅔% or 66.6̄%). Working: 2 ÷ 3 = 0.666…, then × 100 = 66.6̄%. Commonly rounded to 66.67% or 66.7%.
Step 1 — Convert to an improper fraction: multiply the whole number by the denominator and add the numerator, keeping the same denominator. Step 2 — Divide by denominator and multiply by 100. Example: 2 3/4 → (2×4+3)/4 = 11/4 → 11÷4×100 = 275%. Use the "Mixed Number" tab above.
A fraction produces a repeating decimal whenever the denominator (in its fully simplified form) has prime factors other than 2 and 5. Common examples: 1/3 = 33.3̄%, 1/6 = 16.6̄%, 1/7 ≈ 14.285714%, 1/9 = 11.1̄%, 2/3 = 66.6̄%. Fractions with denominators of 2, 4, 5, 8, 10, 16, 20, 25 always terminate.
Yes — any improper fraction (numerator > denominator) or mixed number (whole part ≥ 1) will produce a percentage greater than 100%. Examples: 5/4 = 125%, 7/3 = 233.3̄%, 2½ = 250%. This is completely valid — it simply means the value is more than one whole.
1/8 as a percentage is 12.5%. Working: 1 ÷ 8 = 0.125, then 0.125 × 100 = 12.5%. This is a terminating decimal because 8 = 2³ (only has 2 as a prime factor).
No — simplifying a fraction never changes its value, and therefore never changes the percentage. 12/16 = 3/4 = 75%, whether you simplify first or not. The simplified form is just easier to work with mentally. Our calculator automatically shows the simplified form alongside the percentage result.