Fraction Calculator

Add, subtract, multiply, and divide fractions. Results simplify automatically.

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Simplified Result

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About Fraction Calculator

Fractions can often be incredibly tedious to calculate manually because they require identifying Least Common Multiples (LCM) and Greatest Common Divisors (GCD) to evaluate correctly. Our Fraction Calculator entirely automates this process for you.

Not only does it instantly add, subtract, multiply, or divide any two fractional inputs, but the background Javascript engine will rigorously simplify the final answer into its most irreducible state and display mixed numbers when applicable.

Mathematical Formulas

Our tool strictly executes standard algebraic operations for fractions before simplifying the resulting numerator and denominator pairs:

Addition: (a/b) + (c/d) = (ad + bc) / bd

Subtraction: (a/b) − (c/d) = (ad − bc) / bd

Multiplication: (a/b) × (c/d) = ac / bd

Division: (a/b) ÷ (c/d) = ad / bc

Common Uses

  • Baking & Cooking: Easily halving or tripling recipes requiring 3/4 cups or 1/3 tablespoons of ingredients.
  • Construction & Carpentry: Quickly summing imperial measurements like 5/8 inches with 3/16 inches without manual conversion.
  • Education: Assisting students with confirming math homework involving Least Common Multiples and reductions.

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