Fraction Calculator
Add, subtract, multiply and divide fractions and mixed numbers with step-by-step working that names the LCD used. Auto-simplify to lowest terms with GCF shown. Compare up to 5 fractions to find the largest. Convert between fractions, decimals and percentages.
Fraction Calculator Tool
Enter any fraction to reduce to lowest terms. Improper fractions shown as mixed numbers.
Enter 2–5 fractions. Find which is largest and rank them all. Uses LCD-based comparison.
Convert between fractions, decimals and percentages.
LCD-named steps, fraction comparison, mixed numbers — what most fraction calculators skip
Most fraction calculators give you the answer with little or no explanation. This tool names the LCD used, shows each equivalent fraction built with it, and explains how the GCF was applied to simplify. The Compare tab is the key market gap: no other major free tool lets you rank multiple fractions side by side in one place.
How to calculate with fractions
LazyTools vs other fraction calculators
The most-used fraction calculators give you the answer and optionally show steps. The Compare tab — ranking multiple fractions by size in one place — is the key differentiator absent from every major free tool.
| Feature | ⭐ LazyTools | CalculatorSoup | MathPortal | fractioncalculator.com |
|---|---|---|---|---|
| Add / subtract / multiply / divide | ✔ | ✔ | ✔ | ✔ |
| Mixed number support | ✔ | ✔ | ✔ | ✔ |
| Steps with LCD explicitly named | ✔ LCD + GCF | ✔ | ✔ | ⚠ Basic |
| Simplify + GCF shown | ✔ | ✔ | ✔ | ✔ |
| Compare 2–5 fractions (rank by size) | ✔ Up to 5 | ⚠ Separate tool | ✘ | ✘ |
| Decimal → fraction conversion | ✔ | ⚠ Separate tool | ✔ | ✘ |
| Fraction → percentage | ✔ | ⚠ Separate tool | ✔ | ✘ |
| All tools in one page | ✔ 4 tabs | ✘ Separate pages | ✔ | ✘ |
| No ads / no signup | ✔ | ⚠ Ads | ⚠ Ads | ✔ |
Comparison based on publicly available features as of April 2026.
Fraction arithmetic rules
| Operation | Rule | Example | Result |
|---|---|---|---|
| Addition + | Find LCD, convert fractions, add numerators, simplify | 1/6 + 1/4 | LCD=12 → 2/12+3/12 = 5/12 |
| Subtraction − | Find LCD, convert fractions, subtract numerators, simplify | 3/4 − 1/6 | LCD=12 → 9/12−2/12 = 7/12 |
| Multiplication × | Multiply numerators, multiply denominators, simplify | 2/3 × 3/4 | 6/12 = 1/2 |
| Division ÷ | Keep first, flip second (reciprocal), multiply, simplify | 5/8 ÷ 3/4 | 5/8 × 4/3 = 20/24 = 5/6 |
| Simplify | Find GCF of num & den, divide both by GCF | 24/36 | GCF=12 → 2/3 |
| Mixed → improper | Whole × denominator + numerator over denominator | 2¾ | (2×4)+3 = 11/4 |
| Improper → mixed | Divide num by den; remainder over den | 11/4 | 2 remainder 3 → 2¾ |
Common fraction equivalents
| Fraction | Decimal | Percentage |
|---|---|---|
| 1/2 | 0.5 | 50% |
| 1/3 | 0.3333… | 33.33% |
| 2/3 | 0.6666… | 66.67% |
| 1/4 | 0.25 | 25% |
| 3/4 | 0.75 | 75% |
| 1/8 | 0.125 | 12.5% |
| 3/8 | 0.375 | 37.5% |
| 5/8 | 0.625 | 62.5% |
| 7/8 | 0.875 | 87.5% |
| 1/5 | 0.2 | 20% |
Fractions — A Complete Guide to Addition, Subtraction, Multiplication, Division and Simplification
A fraction represents a part of a whole — numerator over denominator. Fractions appear throughout arithmetic, algebra, cooking, construction and finance. Understanding all four operations and simplification is fundamental from primary school through university.
Add subtract multiply divide fractions calculator free
Each arithmetic operation on fractions follows distinct rules. Addition and subtraction require the least common denominator (LCD) — the smallest number both denominators divide into evenly. Convert each fraction to an equivalent with the LCD as denominator, then add or subtract numerators. Multiplication is simpler: multiply numerators together and denominators together, then simplify. Division is equivalent to multiplying by the reciprocal — flip the second fraction and multiply. Always simplify the result by dividing both numerator and denominator by their greatest common factor (GCF).
Fraction calculator with step by step solution
The step-by-step explanation is the critical feature for learning. For addition and subtraction, steps should explicitly name the LCD: “LCD of 6 and 4 = 12”. Then show each equivalent fraction: 1/6 = 2/12, 1/4 = 3/12. Then combine numerators: 2/12 + 3/12 = 5/12. Then confirm GCF(5,12) = 1, already in lowest terms. Without the LCD named, students cannot learn the method — they can only copy the answer.
Simplify fractions to lowest terms online
A fraction is in lowest terms when numerator and denominator share no common factor greater than 1. To simplify: find the GCF of numerator and denominator, divide both by it. For 24/36: GCF(24,36) = 12. 24÷12 = 2, 36÷12 = 3. Result: 2/3. The GCF can be found by listing factors, prime factorisation, or Euclid’s algorithm — repeatedly take the remainder until zero, the last non-zero remainder is the GCF.
Mixed number fraction calculator free
A mixed number combines a whole with a proper fraction: 2¾ = 2 + 3/4. To calculate with mixed numbers, convert to improper fractions first: whole × denominator + numerator = 2×4+3 = 11 over 4. Apply the operation. Convert back: divide 11 by 4 = 2 remainder 3, giving 2¾. This tool handles the conversion automatically in all four operation modes.
Compare fractions online calculator
Comparing fractions requires a common base. The reliable method: find the LCD of all denominators, convert each fraction to an equivalent with the LCD, then compare numerators directly. For 3/7, 5/11 and 4/9: LCD(7,11,9) = 693. 3/7 = 297/693. 5/11 = 315/693. 4/9 = 308/693. Ranking: 5/11 > 4/9 > 3/7. Most fraction tools do not offer this as an integrated feature — the Compare tab handles up to 5 fractions simultaneously with the LCD comparison shown.
Fraction to decimal converter
Divide numerator by denominator: 3/4 = 0.75. 1/3 = 0.3333… (repeating). To convert a decimal back to a fraction, count decimal places for the denominator power of 10: 0.75 = 75/100, simplify by GCF(75,100) = 25, giving 3/4. For repeating decimals, the algebraic method: let x = 0.333…, then 10x = 3.333…, subtract to get 9x = 3, so x = 1/3.