Fraction Calculator

The Fraction Calculator performs addition, subtraction, multiplication, and division on any two fractions — and automatically simplifies the result to its lowest terms. Whether you're a student working through homework or an adult doing quick calculations, this tool handles the arithmetic instantly and shows every step.

Here's how each operation works:

• Addition & Subtraction — Find a common denominator by multiplying the denominators together: a/b ± c/d = (a×d ± c×b) / (b×d), then simplify.
• Multiplication — Multiply numerators together and denominators together: a/b × c/d = (a×c) / (b×d), then simplify.
• Division — Multiply the first fraction by the reciprocal of the second: a/b ÷ c/d = a/b × d/c = (a×d) / (b×c), then simplify.

All results are automatically reduced to their simplest form by dividing both numerator and denominator by their Greatest Common Factor (GCF). The decimal equivalent is also shown so you can see the value at a glance.

Example

Calculate 3/4 + 1/2.

Step 1: Find a common denominator. 4 and 2 share a common multiple of 4, but using the formula: d = 4×2 = 8.

Step 2: Convert both fractions: 3/4 = 6/8 and 1/2 = 4/8.

Step 3: Add the numerators: 6/8 + 4/8 = 10/8.

Step 4: Simplify. GCF(10, 8) = 2. So 10/8 = 5/4 = 1.25.