Fraction Calculator

Add, subtract, multiply, divide, and simplify fractions with exact integer arithmetic. Convert between improper fractions, mixed numbers, and decimals.

Formula

Operations use exact rational arithmetic with greatest-common-divisor simplification. Addition and subtraction find a common denominator; division multiplies by the reciprocal.

Assumptions

Inputs are rational numbers with integer numerators and denominators.

Limitations

Very large numerators or denominators may exceed practical display limits.
This is not a computer algebra system — symbolic variables are not supported.

Worked example

1/2 + 1/3

Common denominator 6: 3/6 + 2/6 = 5/6.

Frequently asked questions

Does this use floating-point approximations?

No. Fractions are stored as exact integer numerators and denominators using rational arithmetic. Decimal output is shown only as an approximation.

Can I enter mixed numbers?

Yes. Enter mixed numbers like 1 1/2 or improper fractions like 3/2. The calculator normalizes signs and simplifies results.

Last reviewed: 2026-07-23

Category: Math & Algebra

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