Free Fraction Converter — Mixed, Improper & Percent Conversions
Convert fractions instantly — proper to improper, improper to mixed, fraction to decimal, fraction to percent, and more. Step-by-step solution shown every time. No sign-up, completely free.
Fraction Converter — Select a conversion type below
How to convert fractions — complete guide
How to convert an improper fraction to a mixed fraction
An improper fraction has a numerator larger than its denominator (e.g. 7/3). To convert it to a mixed number, divide the numerator by the denominator.
Step 2: Whole number = 2, Remainder = 1, Denominator = 3
Step 3: Mixed fraction = 2⅓
How to convert a mixed fraction to an improper fraction
To convert a mixed number back to an improper fraction, multiply the whole number by the denominator and add the numerator.
Step 2: Add numerator: 6 + 1 = 7
Step 3: Improper fraction = 7/3
How to convert a fraction to a decimal
To convert any fraction to a decimal, simply divide the numerator by the denominator.
How to convert a fraction to a percent
Divide the numerator by the denominator and multiply by 100 to get the percentage.
How to convert a percent to a fraction
Write the percentage as a fraction over 100, then simplify by dividing both numbers by their Greatest Common Divisor (GCD).
Step 2: GCD(75, 100) = 25
Step 3: 75 ÷ 25 = 3, 100 ÷ 25 = 4
Step 4: Simplified fraction = 3/4
How to simplify a fraction
Find the Greatest Common Divisor (GCD) of the numerator and denominator, then divide both by it.
Step 2: 18 ÷ 6 = 3, 24 ÷ 6 = 4
Step 3: Simplified = 3/4
Common fraction to decimal reference table
| Fraction | Decimal | Percent | Simplified |
|---|---|---|---|
| 1/2 | 0.5 | 50% | 1/2 |
| 1/3 | 0.3333... | 33.33% | 1/3 |
| 1/4 | 0.25 | 25% | 1/4 |
| 3/4 | 0.75 | 75% | 3/4 |
| 1/5 | 0.2 | 20% | 1/5 |
| 2/5 | 0.4 | 40% | 2/5 |
| 1/8 | 0.125 | 12.5% | 1/8 |
| 3/8 | 0.375 | 37.5% | 3/8 |
| 1/10 | 0.1 | 10% | 1/10 |
| 4/6 | 0.6666... | 66.67% | 2/3 |
| 6/8 | 0.75 | 75% | 3/4 |
| 10/100 | 0.1 | 10% | 1/10 |
Types of fractions explained
| Improper Fraction | Mixed Number | Decimal | Percent |
|---|---|---|---|
| 3/2 | 1½ | 1.5 | 150% |
| 5/3 | 1⅔ | 1.6667 | 166.67% |
| 7/4 | 1¾ | 1.75 | 175% |
| 9/5 | 1⅘ | 1.8 | 180% |
| 11/4 | 2¾ | 2.75 | 275% |
| 13/3 | 4⅓ | 4.3333 | 433.33% |
| 17/5 | 3⅖ | 3.4 | 340% |
Why use this fraction converter?
Frequently asked questions about fractions
To convert an improper fraction to a mixed number, divide the numerator by the denominator. The quotient becomes the whole number, the remainder becomes the new numerator, and the denominator stays the same. Example: 7/3 → 7 ÷ 3 = 2 remainder 1 → Mixed number = 2⅓.
Multiply the whole number by the denominator, then add the numerator. That result becomes the new numerator, and the denominator stays the same. Example: 2⅓ → (2 × 3) + 1 = 7 → Improper fraction = 7/3.
Divide the numerator by the denominator. Example: 3/4 = 3 ÷ 4 = 0.75. If the result is a repeating decimal (like 1/3 = 0.333…), it means the denominator has prime factors other than 2 and 5.
Write the percentage as a fraction with 100 as the denominator, then simplify. Example: 75% = 75/100. GCD(75,100) = 25. Simplified = 3/4. For decimals like 12.5%, multiply both by 10 first: 125/1000, GCD = 125, result = 1/8.
Find the Greatest Common Divisor (GCD) of the numerator and denominator, then divide both by it. Example: 18/24 → GCD(18,24) = 6 → 18÷6 = 3, 24÷6 = 4 → Simplified = 3/4. A fraction is fully simplified when the GCD equals 1.