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½ Fraction Calculator

Add, subtract, multiply, or divide any two fractions. Results are automatically simplified to the lowest terms and converted to a mixed number when the fraction is improper.

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Fraction Operation Formulas

Add: a/b + c/d = (a×d + b×c) / (b×d)
Subtract: a/b − c/d = (a×d − b×c) / (b×d)
Multiply: a/b × c/d = (a×c) / (b×d)
Divide: a/b ÷ c/d = (a×d) / (b×c)

How to Use

  1. 1
    Select Operation
    Click Add, Subtract, Multiply, or Divide at the top.
  2. 2
    Enter Fractions
    Type the numerator and denominator for each fraction. Negative numerators are allowed.
  3. 3
    Calculate
    Press Calculate or simply type — results update automatically.
  4. 4
    Read the Result
    See the simplified fraction, mixed number (if applicable), decimal, and full step-by-step workings.

Example — Adding Fractions

1/3 + 1/4 = ?

Step 1: Cross-multiply numerators: (1×4) + (3×1) = 4 + 3 = 7
Step 2: Multiply denominators: 3 × 4 = 12
Step 3: Result = 7/12
Step 4: GCD(7, 12) = 1 → already simplified
Decimal = 0.5833

Frequently Asked Questions

Use the formula a/b + c/d = (a×d + b×c) / (b×d). This finds a common denominator and adds the numerators. Then simplify using the GCD.

Divide both the numerator and denominator by their Greatest Common Divisor (GCD). For example, 6/8 → GCD(6,8)=2 → 3/4.

A mixed number combines a whole number with a proper fraction, e.g. 7/4 = 1¾. An improper fraction (numerator ≥ denominator) can always be converted to a mixed number.

Simply divide the numerator by the denominator. For example, 3/4 = 3 ÷ 4 = 0.75.

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