What This Calculator Does

Simplify, convert, add, subtract, multiply, divide or compare ordinary fractions and mixed numbers. Keep the original separate numerator/denominator fields or choose a single fraction/mixed-number field. Exact integer arithmetic reduces fraction results, with mixed, decimal, percentage and common-denominator views.

When to Use It

Check mixed-number homework, convert improper fractions, perform two-number arithmetic or compare values. For decimal input, use the decimal fraction converter. For separate factor work, use GCF or LCM.

Inputs Explained

Choose simplify, convert, arithmetic or compare, then select the input format. Separate numerator and denominator fields accept signed integers, including negative denominators. Single-field syntax is an integer such as 3, a fraction such as -7/3, or a mixed number such as -2 1/3. Spaces around the slash are allowed; whitespace must separate a mixed number's whole and fraction parts.

A mixed number's leading sign applies to its whole magnitude. -2 1/3 = -(2+1/3) = -7/3; -0 1/3 = -1/3. The fractional part must satisfy 0 ≤ numerator < positive denominator. 2 3/2 is invalid mixed syntax; enter an improper fraction instead. Ordinary fractions may have negative denominators, which are normalized to positive denominators. Zero reduces to 0/1.

Each integer component is limited to ±1,000,000,000; single-field input is at most 50 characters. Decimal input, scientific notation and expressions are unsupported. Denominators and divisor fractions cannot be zero. Editing clears the old result; calculate again to update it. Calculating saves inputs through the existing URL fields, so old numerator/denominator shared links still work.

How the Calculation Works

A mixed number becomes w n/d = (w×d+n)/d, applying any minus sign to the entire numerator. Euclid's algorithm finds gcd(|numerator|,denominator) for reduction. The original simplify input is retained for truthful GCD display: 8/12 uses GCD 4.