Add, subtract, multiply, and divide fractions. Simplify to lowest terms. Convert to decimals. Free fraction calculator. No signup.
Fraction arithmetic trips up students and adults alike — adding fractions requires finding common denominators while multiplication works across numerators and denominators. Our calculator handles all fraction operations instantly and shows the step-by-step solution so you understand the process not just the answer.
Adding fractions: Find common denominator, adjust numerators, add. 1/3 + 1/4 = 4/12 + 3/12 = 7/12. Subtracting fractions: same process as adding. 1/2 - 1/3 = 3/6 - 2/6 = 1/6. Multiplying fractions: multiply numerators together, multiply denominators together. 2/3 × 3/4 = 6/12 = 1/2. Dividing fractions: flip the second fraction and multiply. 2/3 ÷ 4/5 = 2/3 × 5/4 = 10/12 = 5/6. Simplifying: find greatest common divisor of numerator and denominator, divide both by it.
Conversion reference: Fraction to decimal: divide numerator by denominator. 3/4 = 3 ÷ 4 = 0.75. Decimal to fraction: use place value. 0.75 = 75/100 = 3/4. Fraction to percent: divide then multiply by 100. 3/4 = 0.75 × 100 = 75%. Common conversions to memorize: 1/2 = 0.5 = 50%, 1/3 = 0.333 = 33.3%, 1/4 = 0.25 = 25%, 3/4 = 0.75 = 75%, 1/5 = 0.2 = 20%.
Step-by-step: Find Least Common Multiple (LCM) of the denominators. Convert each fraction to equivalent fraction with LCM as denominator. Add the numerators. Keep the denominator. Simplify if possible. Example: 1/4 + 1/6. LCM of 4 and 6 = 12. 1/4 = 3/12. 1/6 = 2/12. 3/12 + 2/12 = 5/12.
Simplification steps: Find the Greatest Common Divisor (GCD) of numerator and denominator. Divide both by the GCD. Example: simplify 18/24. GCD of 18 and 24 = 6. 18 ÷ 6 = 3. 24 ÷ 6 = 4. 18/24 simplified = 3/4. Quick GCD method: list factors of each number, find largest common factor. Or use Euclidean algorithm: divide larger by smaller, take remainder, repeat until remainder is 0.
Improper fraction: numerator is larger than or equal to denominator. Example: 7/4. Converting to mixed number: divide numerator by denominator. 7 ÷ 4 = 1 remainder 3. Mixed number: 1 and 3/4. Converting mixed number back to improper: multiply whole number by denominator, add numerator. 1 and 3/4: 1 × 4 + 3 = 7. Denominator stays 4. Result: 7/4.
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The Fraction Calculator — Add, Subtract, Multiply, Divide, and Simplify uses the same formulas, rates, and reference data that financial planners, professionals, and government sources publish. Results are estimates intended for planning and education — for situations involving large sums or legal consequences, confirm with a qualified professional before acting.
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