Add, subtract, multiply and divide fractions instantly — with step-by-step solution. Supports mixed numbers, simplification and decimal conversion.
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Add Two Fractions
Enter whole number (optional) + numerator ÷ denominator
Fraction 1
Whole
num / den
+
Fraction 2
Whole
num / den
Quick examples:
RESULT
📋 Step-by-Step Solution
About This Fraction Calculator
This free Fraction Calculator solves all basic fraction operations instantly — addition, subtraction, multiplication, and division. It fully supports proper fractions, improper fractions, and mixed numbers. Every answer includes a complete step-by-step solution so you understand the process.
How to Add Fractions
a/b + c/d = (a×d + c×b) / (b×d) → then simplify
Find the Least Common Denominator (LCD), convert both fractions to equivalent fractions with the LCD, then add the numerators and simplify.
How to Subtract Fractions
a/b − c/d = (a×d − c×b) / (b×d) → then simplify
How to Multiply Fractions
a/b × c/d = (a×c) / (b×d) → then simplify
Simply multiply numerators together and denominators together — no LCD needed!
Flip the second fraction (reciprocal) and multiply. Remember: Keep, Change, Flip.
How to Simplify Fractions
Find the Greatest Common Divisor (GCD) of the numerator and denominator using the Euclidean algorithm, then divide both by the GCD. Example: 12/18 → GCD=6 → 2/3.
Find the LCD of both fractions. Convert each fraction to an equivalent with the LCD. Add the numerators, keep the LCD as denominator, then simplify. Example: 1/3 + 1/4 → LCD=12 → 4/12 + 3/12 = 7/12.
Multiply the numerators together and the denominators together, then simplify. Example: 2/3 × 3/4 = 6/12 = 1/2. No common denominator needed!
Keep the first fraction, change division to multiplication, flip the second fraction (reciprocal), then multiply and simplify. Example: 2/3 ÷ 4/5 = 2/3 × 5/4 = 10/12 = 5/6.
Yes! Enter 2 in the Whole box, 1 in numerator, 2 in denominator. The calculator converts it to an improper fraction (5/2) automatically, calculates, and shows the result as both fraction and mixed number.
The calculator uses the Euclidean algorithm to find the GCD of numerator and denominator, then divides both by it to get the simplest form. Example: 12/18, GCD=6, result = 2/3.
CalcVelo Fraction Calculator — Free math tool for students and professionals. Last updated: June 2025
