Add, subtract, multiply, and divide fractions — get simplified results with decimal equivalents instantly.
The Fraction Calculator performs all four arithmetic operations on fractions: addition, subtraction, multiplication, and division. It automatically simplifies the result to its lowest terms and also shows the decimal equivalent. Fractions are one of the most commonly searched math topics worldwide — from school students to cooking, woodworking, and finance.
How Fractions Work
A fraction has two parts: numerator (top) and denominator (bottom). For example, 3/4 means "3 parts out of 4." When adding fractions with different denominators, you need a common denominator. When multiplying fractions, multiply numerators together and denominators together, then simplify.
Common Fraction Problems
- Adding recipe fractions: 1/2 cup + 3/4 cup = ?
- Splitting bills: 2/3 of ₹750 each?
- Construction measurements: 5/8 inch + 3/16 inch = ?
- School math: All four operations on fractions for competitive exams
Simplification
This calculator automatically reduces fractions to lowest terms by dividing both numerator and denominator by their HCF (Highest Common Factor). For example, 6/8 becomes 3/4 after dividing by HCF = 2.
1. Enter First Fraction: Type the numerator and denominator of the first fraction.
2. Select Operation: Choose add (+), subtract (−), multiply (×), or divide (÷).
3. Enter Second Fraction: Type the numerator and denominator of the second fraction.
4. View Results: Get the simplified fraction and its decimal value.
Addition: a/b + c/d = (a×d + c×b) / (b×d), then simplify by GCD
Subtraction: a/b − c/d = (a×d − c×b) / (b×d), then simplify
Multiplication: a/b × c/d = (a×c) / (b×d), then simplify
Division: a/b ÷ c/d = (a×d) / (b×c), then simplify
Simplification: divide both parts by GCD(numerator, denominator)
Example 1 — Addition: 1/2 + 3/4 = (1×4 + 3×2)/(2×4) = 10/8 → simplified to 5/4 = 1.25
Example 2 — Subtraction: 5/6 − 1/3 = (5×3 − 1×6)/(6×3) = 9/18 → simplified to 1/2 = 0.5
Example 3 — Multiplication: 2/3 × 3/4 = 6/12 → simplified to 1/2 = 0.5
Example 4 — Division: 3/4 ÷ 1/2 = (3×2)/(4×1) = 6/4 → simplified to 3/2 = 1.5