Fraction Calculator Pro

Add, subtract, multiply, and divide fractions and mixed numbers. Includes instant simplification, common denominators, and decimal/percentage conversions.

Quick Examples:

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How to Perform Fraction Operations

Addition & Subtraction (+ / -)

Both fractions must share a common denominator. Find the LCM of the denominators, convert the fractions to equivalent forms, and add/subtract only the numerators.

Multiplication (×)

Multiply numerator by numerator, and denominator by denominator. Common denominators are not needed: (a/b) × (c/d) = (a × c) / (b × d).

Division (÷)

Multiply by the reciprocal of the second fraction (flip numerator and denominator): (a/b) ÷ (c/d) = (a/b) × (d/c).

Simplification (Reduction)

Find the Greatest Common Divisor (GCD) of both parts and divide both numerator and denominator by it until no common factors remain.

Fraction Calculator FAQs

Common mathematical questions about fractions and mixed numbers.

What is an improper fraction versus a mixed number?

An improper fraction has a numerator equal to or greater than its denominator (e.g. 7/4). A mixed number combines a whole number and a proper fraction (e.g. 1 3/4). Both represent the same numerical value.

How do you multiply fractions with whole numbers?

Convert the whole number into a fraction with denominator 1 (e.g. 5 = 5/1), then multiply numerators and denominators normally.

How does the calculator simplify fractions?

Our engine uses the Euclidean algorithm to find the exact Greatest Common Divisor (GCD) between the numerator and denominator, then divides both parts by that factor.