½ Fraction Calculator

Add, subtract, multiply, or divide fractions easily.

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What is a Fraction Calculator?

A Fraction Calculator lets you add, subtract, multiply, or divide two fractions and instantly get the answer reduced to its simplest form, along with the decimal equivalent. It's useful for students solving homework problems, for cooking measurements (like halving a recipe that calls for ⅔ cup of something), for carpentry and tailoring where lengths are given in inches and fractions, and for anyone who wants an accurate fraction sum without doing cross-multiplication by hand.

How It Works

Given two fractions n1/d1 and n2/d2, the calculator applies standard fraction arithmetic and then simplifies the result using the Greatest Common Divisor (GCD):

Addition: (n1×d2 + n2×d1) / (d1×d2)
Subtraction: (n1×d2 − n2×d1) / (d1×d2)
Multiplication: (n1×n2) / (d1×d2)
Division: (n1×d2) / (d1×n2)
Simplify: divide numerator and denominator by GCD(numerator, denominator)

Worked Example

Let's add 1/3 + 1/4:

Numerator = (1×4) + (1×3) = 4 + 3 = 7
Denominator = 3×4 = 12
Result = 7/12 (already in lowest terms since GCD(7,12) = 1)
Decimal = 0.583333

If instead we multiplied the same two fractions, 1/3 × 1/4 = (1×1)/(3×4) = 1/12 = 0.083333. Multiplication never needs a common denominator — you simply multiply straight across, top and bottom.

How to Use This Calculator

  1. Enter the numerator and denominator of the first fraction.
  2. Choose the operator: add (+), subtract (−), multiply (×), or divide (÷).
  3. Enter the numerator and denominator of the second fraction.
  4. Click Calculate to see the simplified fraction and its decimal value.
💡 Tip: When dividing fractions, the calculator flips (takes the reciprocal of) the second fraction and multiplies — the classic "keep, change, flip" rule. Also, never enter 0 as a denominator; division by zero is undefined and the calculator will reject it.

Also check our Ratio Calculator and LCM & GCD Calculator, which use the same GCD-based simplification logic.

📅 Last reviewed: July 2026 · Formulas verified against RBI/SEBI/IT Dept guidelines.